I fully sympathize with you Accadia. Sadly though this has been a problem pretty much since launch, and the problem mostly affects the Castrum Meridanium and the Praetorium dungeons, as they are extremely cutscene heavy right through each dungeon, but of course high level players want to just rush ahead to get their 'Allagan tomestomes' they get as a bonus for queuing via the 'Duty Roulette' for helping with it, completely ignoring players new to the dungeon who want to experience it how it was meant to be played.

Sadly the only real way to avoid this with the ARR dungeons is to ignore the Duty Finder and see if a couple of level 60 high-end geared friends can run you through it as an 'undermanned' (that is, with just your couple of people in the party and with no level sync), and let you view the cutscenes without interruption.

In fact, if you were on my server I would gladly do just this and happily run you through things like Praetorium and let you view the cutscenes without problem. Unfortunately there is no other way that you can overcome this, other than maybe using Party Finder and forming a party for new players on your server and entering like that (and not using Duty Finder) - there is even an option in PF for 'viewing cutscenes' so anyone who joins knows what you want to do specifically. I'm sorry I have no other way of helping you overcome this though.

Either way, hang in there! Not all level 60 players are tome-obsessed speedrunners who have forgotten their roots, that they were low level and new to a dungeon/trial/raid once too, a lot of us are more casual and laid back and far more emphaic towards low level players.