I'm adding a patch to add support for clearing the search input field if the option is selected in the SearchEditForm.
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It's likely this issue predates Contrib.social: some issue and comment data are missing.
FYI I was just creating a new merge request for
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Use search form element instead of text
Needs review
for using input[type="search"] instead of input[type="text"]. The cool thing about that is that a clear button comes OOTB and could be hidden via CSS if people don't want that.