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So this is definetely a bug.
Please try it out. Go to the startpage https://itch.io and search for any tag or game.
It will display exactly a maximum of 60 games and ignores all the others.

Just if you continue and click the tag button it will find all games!
But that's not how a search in 2019 should be! 

The support says everything is allright, but it's not!
So how to talk with a wall? ^^ It's realy annoying.

I already told you that's how the search is designed to work. It's intentional. If you think it should work differently, that's another story.

Well, now support has told you the same thing. Who else should I pass your question to? It's unlikely you'll get a different answer.