Go ahead and watch the cut scenes. Just be aware that the experienced players will not wait for you. In some content, where there are long CS at the beginning, it will irritate the other players to be just standing there waiting for the shield to drop. There are instances where the experienced players will actually kick from the dungeon for watching them. The entire situation is nothing but a breeding ground for toxic behaviour.

SE has improved dungeon / raid design to limit CS mostly be placing them after you have exited the instance and have outright removed them from middle of dungeon/raids.

Also, the CS can be watched later, on your time at the INN.