OK, I am totally confused about necks. I have both a Peavey Millennium & 89 Foundation with the jazz type necks & love them. I have a 83 Fury & 87 Patriot with very wide necks & hate them. I always assumed that the Fury & Patriot necks were considered precision type necks because of the width & that is why I always thought that even though I love the tone of a Pbass I would not like the neck width of one. Wednesday I found a 07 Squier Pbass for $95 and couldn't believe how much narrower the neck was compared to the Fury & Patriot. The Squier neck is only slightly wider than my Foundation
Neck widths (at the nut) and depths (front to back) have changed over time on Fenders, and pretty much everyone else's, basses. There's a list on here that might help guide you. Edit: http://www.talkbass.com/threads/list-of-widths-at-nut.919079/
Imo neck depth and contour as well as fretboard radius are playing a role here, have you actually measured the width at the nut between the fury/patriot and the p?
My peavey fury has a thin neck. Very thin. My taste in necks go either very thin 1.5 or very big 1.75 not a fan of anything in between. Just me though
If that's the case then the peaveys and the squier are both less wide than a standard p bass, which is traditionally 1 and 3/4" or 1 and 5/8" at the nut.