Fine tuning the search results – part 2

This is a follow up to post https://kriesi.at/support/topic/fine-tuning-the-search-results/

The search results page displays a timestamp on Page items; ideally the timestamp only appears for Posts and Events.
.page time { display: none !important; }

I realized that this css fixes the issue on the search results page, however it removes the timestamp on all other pages using the Blog Posts tool.

I tried the following, but no luck:
.template-search .page time { display: none !important; }

Please advise. Thanks!