Have you tried making changes yourself using CSS? Because the spacing between the images is not the Enfold standard spacing when set to “large gap.”

so in total : replace the snippet by:
( btw. i changed the code on my page too – if you hover the snippet there is on top right of the codeblock a copy button)

/**
 * Enfold Masonry Caption Fix - NUR für Perfect Grid
 * Schiebt die Caption unter das Bild, ohne es zu verdecken.
 */

function enfold_masonry_perfect_grid_caption_fix() {
?>
<style>
    /* ========================================
       PERFECT GRID CSS
       ======================================== */
    
    /* Erlaubt der Caption, über den Container hinauszuragen */
    #top .av-masonry.av-fixed-size.av-masonry-gallery .av-inner-masonry,
    #top .av-masonry-gallery.av-masonry-gallery-fixed figure.av-inner-masonry {
        overflow: visible !important;
    }
    
    /* Positioniert die Caption direkt unter das Bild-Quadrat */
    #top .av-masonry.av-fixed-size.av-masonry-gallery .av-inner-masonry-content,
    #top .av-masonry-gallery.av-masonry-gallery-fixed figcaption.av-inner-masonry-content {
        position: relative !important;
        top: 100%;
        background: #ffffff; /* Hier ggf. deine Wunschfarbe für den Hintergrund */
    }

    /* Korrektur für Tablets */
    @media only screen and (min-width: 767px) and (max-width: 989px) {
        .responsive .av-masonry-gallery .av-masonry-entry .av-masonry-entry-title + .av-masonry-entry-content {
            display: block !important;
        }
    }
</style>
    
<script>
    (function($) {
        'use strict';
        
        function fixPerfectGrid() {
            // Nur für Masonry Galerien mit festem Raster (Perfect Grid)
            $('.av-masonry-gallery.av-masonry-gallery-fixed, .av-masonry.av-fixed-size.av-masonry-gallery').each(function() {
                var $gallery = $(this);
                var columnCount = 1;
                
                // Spaltenanzahl ermitteln
                if ($gallery.hasClass('av-masonry-col-2')) columnCount = 2;
                else if ($gallery.hasClass('av-masonry-col-3')) columnCount = 3;
                else if ($gallery.hasClass('av-masonry-col-4')) columnCount = 4;
                else if ($gallery.hasClass('av-masonry-col-5')) columnCount = 5;
                else if ($gallery.hasClass('av-masonry-col-6')) columnCount = 6;
                
                if ($gallery.hasClass('av-masonry-col-flexible')) {
                    var $items = $gallery.find('.av-masonry-item-with-image:visible');
                    if ($items.length >= 2) {
                        var firstTop = $items.eq(0).offset().top;
                        var itemsInFirstRow = 1;
                        for (var i = 1; i < Math.min($items.length, 10); i++) {
                            if (Math.abs($items.eq(i).offset().top - firstTop) < 10) {
                                itemsInFirstRow++;
                            } else { break; }
                        }
                        columnCount = itemsInFirstRow;
                    }
                }
                
                // Maximalhöhe der Captions finden, damit die Zeilen gleichmäßig bleiben
                var maxCaptionHeight = 0;
                $gallery.find('.av-masonry-item-with-image').each(function() {
                    var $caption = $(this).find('figcaption.av-inner-masonry-content, .av-inner-masonry-content');
                    if ($caption.length && $caption.is(':visible')) {
                        maxCaptionHeight = Math.max(maxCaptionHeight, $caption.outerHeight(true));
                    }
                });
                
                // Abstand unten einfügen, damit das Masonry-Layout Platz für die Caption lässt
                if (maxCaptionHeight > 0) {
                    $gallery.find('a.av-masonry-entry, .av-masonry-item-with-image').css('margin-bottom', maxCaptionHeight + 'px');
                }
            });
            
            // Layout neu berechnen
            $('.av-masonry-gallery.av-masonry-gallery-fixed, .av-masonry.av-fixed-size.av-masonry-gallery').isotope('layout');
        }   

        // ========================================
        // INITIAL LOAD - Nur auf Bilder warten, nicht auf die ganze Seite
        // ========================================
        (function() {
            var $gallery = $('.av-masonry-gallery');
            
            if ($gallery.length && typeof $.fn.imagesLoaded === 'function') {
                // Wartet NUR auf die Bilder in der Galerie
                $gallery.imagesLoaded(function() {
                    setTimeout(fixPerfectGrid, 200);
                });
            } else {
                // Fallback für den Notfall
                setTimeout(fixPerfectGrid, 600);
            }
        })();

        
        // Nach Enfold Events
        $(document).on('av-masonry-complete', function() {
            setTimeout(fixPerfectGrid, 250);
        });
        
        // Bei Größenänderung
        $(window).on('debouncedresize', function() {
            // Reset Margin
            $('.av-masonry-gallery.av-masonry-gallery-fixed .av-masonry-item-with-image, .av-masonry.av-fixed-size.av-masonry-gallery .av-masonry-item-with-image').css('margin-bottom', '');
            fixPerfectGrid();
        });
        
    })(jQuery);
</script>
<?php
}
add_action('wp_footer', 'enfold_masonry_perfect_grid_caption_fix', 999);

i also replaced the on load event by:

// Run initially
$(window).on('load', function() {
    $('.av-masonry-gallery').imagesLoaded(function() {
        setTimeout(fixAllMasonryModes, 200);
    });
});

and implemented the enfold debounceresize function on performance reasons.

If you make the browser window a little bigger or smaller, you will see that it works. It seems to be a timing problem affecting your page.
So try changing the timings:

Try to change inside the snippet the values of :

// Initial loading: Wait longer for images
$(window).on('load', function() {
    setTimeout(fixAllMasonryModes, 600);  // 300 → 600ms
});

// After events: A little more time
$(document).on('av-masonry-complete', function() {
    setTimeout(fixAllMasonryModes, 250);  // 100 → 250ms
});

$('body').on('av-isotope-finished', function() {
    setTimeout(fixAllMasonryModes, 250);  // 100 → 250ms
});

by the way:

Different Solution – even the captions will have the same height on perfect Grid
However, this does not look so good in some cases if the captions are of too different sizes.

I’ll remove that because it doesn’t make sense. As soon as one caption is very long in all Masonries, all the others are pulled up to the height of that caption—it doesn’t look good.
It would be different if he adjusted the same caption heights in a row—but I can’t think of a way to do that.

https://drive.google.com/file/d/1LCTDadxGKcECUNuGReQtH9zo9_5tCZ4O/view?usp=sharing

This is a screen recording of my workspace.
No HTML code or additional custom code has been applied.
When I try to add images or columns, the editor crashes during the save process, as shown in the video.