As I said before, the mini-game won't affect the story's progress. Skip strip poker just by giving up and as for the king's game, just pick random choices, it doesn't matter as the story will still move forward. But it matters if you want to get the secret CGs.Well, but a poker and the King's game, if they made into the game, then this is not VN anymore right? Some people probably just don't like the hassle of that, especially if it blocks progression to more contents. Heck, some people probably don't even know how to play poker at all.
Hopefully it doesn't turn into something you'll end up releasing a cheat or a skip function. Won't worth the time and effort if it does. Anyway, good luck!