slimmer neck

I doubt it, as the neck pocket of a soundgear is cut differently, it won't fit. (At least for mine - "square" pocket vs contured)

You'd have better luck looking at Jazz bass necks, but more informed people will help you out with that.

 

Yeah look into a neck swap. A SR and Jazz both have 1.5” nuts. The SR is 0.768” at the 1st fret, my MIM Jazz is 0.78”. (Pretty common/standard from what I’ve seen.) Geddy Lee Jazz necks are even thinner than that. (~0.73”)

Welcome to the dark side
J Neck P Bass Club

 

I’d go out and play basses, see what you like and fits your budget. Then you can source a neck that meets the profile. I said “MIM” but that was an older Standard series. Similar to the Player series… but the Vintera series come with thicker necks… not all “Fender Jazz” (or Squier) have the same profile; you gotta figure out which ones tickle your fancy!

I wish Fender posted their thickness measurements like Ibanez does. But lots of people post their measurements here, just do a little sleuthing or ask around.