You know sometimes I hate itchio because when it comes to update you have delete the old version and you have redownload this is why I like steam but I would still to play itchio games.
Yes, It lacks the "branches" of Steam. But for the current distribution model, this is the best solution. When the game has more content and is closer to its final stages, we'll release it on Steam.
I don't think you have to delete a previous version to play the new one.
Personally, I move the folder for the previous version into the folder for the current version and that brings all the save data with it. I do that with every update for games I play
Most renpy games I've seen have the save files located inside the main game files, but for unity games like this one Wild Pear is correct. the easiest and quickest way i can tell is by opening the main game folder and seeing if there's a unity crash handler in the folder.