Search previously did search for profiles. This was changed a few months ago. Now search searches for profile names and display names. But the results will only be projects published by those profiles, if any. It will find indexed projects, unless the profile name is very generic, because search results are capped at about 60 results.
Viewing post in Can't find profiles
What exactly?
You did notice that link, did you?
https://itch.io/search?q=BobbyWojak
That search for your name results in only one project and that is yours.