E.g. at https://www.php-imap.com/api/folder

They all do the same - different names are available as aliases. Pick the one you like.

$query = $folder->query();
$query = $folder->search();
$query = $folder->messages();

IMO, this only causes confusion and makes searching the documentation (or StackOverflow or whatever) harder, since everybody is using another term for the same thing.
So I'd suggest that you just pick one name for each function and stick with it.