Since it's around fifty years since The Beatles split up I expect a lot of their fans are, as you suggest, lacklustre - either than or dead by now.
I don't thinkthe fans of a particular band are responsible for the production or sale of posters, T-shirts or other memorabilia. These things don't “support” the band (that doesn't exist anymore) anyway, they support the people producing them.
I guess I'm still a fan of The Beatles’ music but, at 65, I have no interest at all in any of the items you mention: I just enjoy their music and rate it highly. Having said that, I rarely listen to it - it's old music.
It's not up to the fans whether The Beatles music is played on the radio - I don't really listen to music radio much anyway and don't care what's played. I'm afraid it's very rare thatI hear any music “played in public” that I even recognise.
I'm wondering if you are mistaken about what a “fan” is and think that they are in some way responsible for promoting the band? A fan is just a person who likes the band. I would have thought that the majority of living Beatle fans are going to me in their sixties or seventies and not at all interested in the gimmicks you mention.