I'm glad it's not just me. At least on the PIK LoCo they now have an automated safety brief which everyone can understand. When it was done individually a few years ago, if we were taxying for a 31 departure then the cabin crew had about 5 mins to deliver it but if we were racing for a 13 departure they only had a couple of minutes and it was a joke to listen to - extremely fast delivery in various accents.
I don't think the cabin noise has anything to do with it - I've heard some excellent broadcasts in my seat and some lousy ones, same aircraft type all with similar cabin noise.
As far as speed of delivery is concerned - slow it down if you can, which also goes for RT delivery, as there are still a few (mostly younger sounding) pilots out there who think they need to deliver their RT at breakneck speed, which I can't sometimes understand.