You can no longer skip cutscenes because new players were rushed through them, left out of fights alltogether and found themself alone in certain parts of the dungeon with all bosses cleared and the group already on their way out.

There were countless complains from people who wanted to enjoy the final dungeon of the game, but couldnt because its poorly designed and people arent willing to wait for the new person, even if they get compensated with bonus tomes.

If you consider watching the cutscenes a waste of time, I'd advice you to stay out of the Mainstory-Roulette alltogether. You get compensated for the time spent there with tomes or exp and if you dont feel that you get enough for your time: Dont do it.
The only thing that I could see "working" is that you're allowed to skip the cutscene, so you dont have to watch it again, but get put into some sort of "freeze" that prevents you to continue with the dungeon until everyone has finished their cutscene, like bossrooms being locked or something like that.

If a new player doesnt want to watch the cutscenes... well, I suppose they just gonna have to sit down through them once and then never again.

You have an option to skip the cutscenes: Skip the roulette.