I couldnt have explained it better myself Harlito.
Yes Dave Gahan several times mention Stones and the admiration to them. How Mick Jagger is a inspiration as a frontman and how he tries to live his life healthy now so he can continue to rock onstage like Mick Jagger when he gets to his age.
Also the main songwriter Martin L Gore played "Ruby Tuesday" as one of the songs during a afterparty to a solo gig in Stockholm. Great Piano version sung in a little tipsy way.
Anyway.... What Stones have done to rocknroll is what DM have done with electronic music. They brought it to the people.