@Michael,
No need the variable radius. I just saw some screws made like that. I don't see that's what Barry is looking for.

@Others,
I see now why the bottle needs to be a solid, as opposed to my suggestion of just lofting profiles to solve a long Boolean.

Another way to get around it is to just do chunks. So I do an array with 400 bottles. I basically window select little "5ths" of the lot. Each Boolean only took about 15 seconds. If you try with all 1 go, it can make the calc take a long time.

Anyway.....