I neither love or hate them. Being a pretty fairly solidly Fender guy, they do feel different. The body is bigger and thinner, so sometimes they feel like a big cardboard cutout (in the nicest sense!) after a solid blob like a Jazz bass. I've played an old '70s 4001 that seemed especially thin, front to back.
I like the necks as well. I chased thinner necks until, ultimately, I had a Mustang bass. I then realized it isn't a thin neck as much as neck geometry. Some Rick necks feel like a square-section of wood with two corners sanded smooth, but my left hand seems to get on with them. They don't feel like the clubby neck of a Mike Dirnt bass, for example.
The tone is the best bit of the deal for me, but only because nobody else is sticking single coil pickups in those locations on other basses. There is a warmth, grind and clarity to a Rick bass. You can find, say, that pillowy warmth in a Gibson EB-0 but it won't have the clarity. Other basses have the same grind, but not the depth of tone, etc... The last Rick I played was a new Azure blue model, and my girlfriend thought it sounded great. She isn't a musician, so anything that sticks out to her is interesting to me. I think they are one of the fullest-sounding passive basses out there, and even the fretbuzz sounds musical.
The bridge cover does block a bit of access to the strings, and I wonder if (like the P bass) some of the best tones come from that area of strings obscured by the pickup cover. I have more of an issue with how RIC operate as a commercial entity, as well as the pervasive Rickenculture on a couple of online forums, but the basses themselves are inanimate objects so it is weird getting wound up them.
The two-rod system is sheer nonsense, in my opinion. If you are making necks that thick out of maple then a single rod (and maybe some graphite support) should do the job. The two-rod system seems to be a solution looking for a problem and, at least on older Rick basses, causes problems. Chastise your local repairman for not 'getting' how those old hairpin rods worked, but Fender and Gibson got it right.