My SR5 was an early one, IIRC 1989, which had a one piece maple neck/fretboard with unrounded edges.
I don't recall whether there was a radius or not, or the neck being fat. Whatever it was, it didn't bother me. The edges of the fretboard finally peed me off and I replaced it with a Lakland.
These are all personal opinions which may be relevant or not. I'd find a good used bass and buy it. Audition it for a few months and sell it on if you deicide you can't get on with it. In the past I've bought basses and decided I didn't mind things that I had thought were deal killers.