I am primarily a P-Bass player. My main Pbass is a 73 sunburst. I started on wide necks (Sears Silvertone) and prefer the p-bass neck.
However, the Jazz bass and other later Leo Fender designs such as the Music Man StingRay are also great basses.
More tonal options and better ergonomics on the Jazz bass body & slimmer neck.
I picked up a sunburst 79 StingRay with a maple neck last year and a RI 63 sunburst Jazz bass this year.
A number of players that prefer skinnier necks swap out the Jazz bass neck and install them on Pbasses (e.g., Tim Comerford- Rage Against the Machine).
They're all good.