As someone who actually started playing back when they were skippable...

No, do NOT make them skippable again. It'll completely nuke the rewards, and I don't envy new players needing to wait 1-2 hours as a healer like I did when I was new, and it was almost certainly worse for DPS players.

And on top of that, when I was new, I didn't even get to SEE all the cutscenes, because the game kicked me out before they were all done, due to not having moved after the duty's completion. And of course, the factor that it meant I couldn't participate in any of the fights until my second time there, which isn't very enjoyable. It also got really freaking confusing regarding where everything was going on, since you didn't know the layout.