I also have both and bought a plus bag so I could quickly swap drivers depending on conditions. Yeah, lazy git.
What I found was if I forgot to change and took the BB to a course with high winds my driving seemed to suffer a bit, maybe not a lot and almost certainly not as much as perceived. If I took the R1 to a course with low wind I still drove well.
I've not used the BB for several weeks now and maybe never will again to be honest. For me it was a slight compromise compared to the R1.
Don't forget the R1, although briefly available at L93, is actually a L98 driver and, generally at least, the higher the level the better the club.