This is not youtube or steam. The platform does not really push any games. And the recommendation feature is ... underdeveloped.
So a definitive maybe would be the answer. Your game could be pushed a little by being in some of those featured list, but it mostly is a feedback loop with outside promotion that makes games popular, so they rise in popular ranking and appear higher up in tag ranking when people browse for games.
So it can happen, but most things just get drowned by all the other things.
Basically it is a chicken and egg sitution. You need to be known to be known. Itch's stance is, to not rely on internal promotion. So any answer you might get here, will heavily depend on the outside promotion that is done.
But it sure would be an interesting read, if someone can give data on this.