my mom loved Floyd. she wanted to try smoking pot, but never did (to my knowledge). dad wanted to right up until his death, but was afraid that it would make him want to smoke cigarettes again. (took him 30 years to stop that habit) dad was not a fan of Floyd however. had an album going once when he came in and a buddy asked him "Chuck, what do you think of this song?" dad listened a minute & said "sounds like fucking sheep to me.."
Okay, okay, there is almost always going to a few exceptions but I think your Mom at least being open enough to try pot is what allowed her to enjoy Pink Floyd. Your dad was of course not a fan of Floyd, so there's your answer there it didn't matter that he was willing to try pot on a certain level.
On the Floyd issue when introducing them (Pink Floyd) to someone you got to be really careful what song you choose to introduce them to. I would strongly advise against some of their more eclectic titles such as "Pink Floyd - Careful with That Axe, Eugene" or "Roger Waters - Several Species of Small Furry Animals Gathered Together in a Cave and Grooving with a Pict" or even "Alan's Psychedelic Breakfast". I'd go with "Dark Side of the Moon" probably "Money" as most people can relate. I'd definitely avoid the whole Animals Album for the first time. Some of Floyd's work you just have to love them as a band before you can enjoy it.