I need one like I need another hole in the head. Which is why I have an original 1968 360 in the basement and a Grexa reissue in a closet upstairs for gigging purposes. There is nothing I ever do that would require a 360, but the sound you can get is unique. The original has a bright switch that brings it far closer to modern hifi sounding than you would expect. There's endless eq potential with the variamp knobs and the bass and treble controls. You wouldn't expect it to be as versatile as it is. And then there's that long-wave ocean of bass it can unleash on top of everything else.
Like you, I didn't want one because of somebody famous. My first "big" amp was an Acoustic 126 combo that I got in 1981 or so. I think it was a demo or return or something. It wasn't brand new, but it couldn't have been more than a few months old when I got it. I still have it, and it's still a workhorse over in a rehearsal space. That led to figuring out how to get a good sound out of Acoustic amps, which led to a well used 360 for cheap. It looks like they are getting back to being reasonably priced again, after a weird spike in the prices. They are workhorses, not collectors pieces. Or should be.