It made me stop actually playing constantly, because I didn't want to miss anything important they might have to say.
I get what you mean. I loved the dialogues in Guardians of the galaxy and I think it didn't suffer
too much from dialogues cutting if you move too quickly, but it's a problem in so many games that you tend to be careful with that.
This really annoyed me in Final Fantasy XV. The characters talk during the dungeons, and I actually liked that, it made the atmosphere feel less oppressive, but the problem is that if you move at a regular pace, not even rushing or anything, you will ALWAYS miss the end of their lines, it always cut and move to the next one. So what you end up doing is you stop moving when they talk, if you want to be sure to hear the whole thing, but then you will have to play without any dialogues anymore until the next one, while I would have prefered having the dialogues playing while I was actually playing.
It seems like they just don't know how to time these properly.
I definitely didn't find it as annoying in Guardians of the Galaxy, but I understand where you're coming from.