I have a thing about thin and shallow necks and have tried a few.
I had a Fender Jaguar, which had the same sized neck as a Geddy Lee. Very shallow. I also had a Peavey Fury II which had a neck possibly even slimmer - really fantastic neck if slim and shallow is your thing - nicer than the Milestone III that I had once. Also Fender Precision Lyte - another shallow neck. All of these are shallower than a 'standard' Jazz bass neck, even if they are all 38mm at the nut. Tried a Yamaha RBX800E for a while, which had a lovely neck but this was 'roughly' the same as a standard Jazz.
Similar width but slightly chunkier still - Hohner B2A and B-bass. Similar again is the SBMM SB-14, which I guess must be similar to the Sterling. I actually find this one extremely comfy, even though it is slightly chunkier than the untra-skinnies. I have (and have had) a number of Westones - these have all been similar necks to the Hohners. Very nice necks.
Horses for courses, really.