Is this okay? Or would it be better to split the complete runs without skip from the runs with skip?

Would it be alright if you list all the skips currently done? It'd be nice to have them written down so others can be aware too.

No problem, I could make a video with the possible skips. The point is that the only runs with skips are mine, I don't know if it's fair to the other people who have played this game, that's why I opened this forum

Personally I think it's ok. Speedruns evolve over time with new skips making old runs outdated. In my opinion it would only need a new category if all the skips made the game significantly different from playing it normally. (e.g. If a way was found to skip a hub, or a "straight to credits" type thing.)