I've owned an Alpine white and mineral white BM and neither really give a satisfying feeling when you clean them. Because they have no really depth of shine, it's not very rewarding to spend time waxing them.
Mineral white is very subtle, but does look fantastic when the sun shines. If done correctly MW is very technical to apply and needs to be built up in several layers. I’d have thought it cost more then AW?
Personally I'd have a black roof with either option.