Quite honestly, I could care less what other people play. In fact, when I got my first Rick, sometime around 1978 I think, in general I had no idea what various bands played and I'd never even heard of Rickenbacker. Ok, maybe I lead a sheltered life...
Anyway, I was playing a Guild bass at the time and just wasn't happy with it. The keyboard player in our band found an ad for a 4001 in the local classifieds and suggested we go check it out. I went, saw it and said, "Wow, what a cool looking bass!" Then I played it... there was no turning back at that point, the sound, the feel, it was just so perfect!
I was quite surprised after that how often I found that some band or other used a Rick bass, and also how often if I really loved the bass sound on a track, it happened to be a Rick.
So, I guess my attractions are:
1. The sound
2. The feel/playability
3. The looks

I have NO idea what to do with those skinny stringed things... I'm just a bass player...