Not getting into a Stones vs. Beatles argument, I heard enough of those in the 60s!
I did love the early Stones. Personal preferences aside, though, they would never have been a big success had the Beatles not paved the way, and they were never as popular as the Beatles in the 60s.
The "new bassist" (it's been over 20 years now) is certainly capable, but the absence of Wyman is one reason why the Stones aren't even a good Stones cover band today. Love him or hate him, Wyman was part of what made the band what they were.