This is a necropost, but I have to share something with folks who like a chunky neck.
I have bought 2 cheap Chinese "Fender" bootleg necks. They are both "Jazz" necks that have the normal jazz nut width. And both classify as "chunky" (front to back) according to the criteria given here. The thinner of the 2 is .85 at the 1st fret and .93 at the 12th fret. That's the maple one with black blocks. The chunkier one is *.90* at the 1st fret and 1" at the 12th fret. That's the one with the rosewood, white blocks, and black headstock.
These were both around $70. Recommending them is a little squirrelly. They aren't going to fit every bass perfectly and some modding may be necessary. And I don't know if they are likely to develop problems at some point. But if you want chunky, these are chunky. And cheap. Might be worth the risk for some of you.
Both of mine were quite good. No sharp fret ends. The maple one could use some fret leveling, but the rosewood one has absolutely stellar fret work. It seems super stable, and allows for action as low as my Lakland if not lower. It's worth noting that the rosewood one has a headstock that is a little off center from where a Fender bass neck should be. The tuning holes are in the correct spot relative to the neck, but the headstock is shifted closer to the floor when held vertical. This seems to be the design of nearly all of these Chinese copies - though not all, maple one doesn't. You can tell by how close the tuner holes are to the edge of the headstock.
Anyway, I didn't know the 'baseball bat neck' was a thing until I played this neck. I'm still adjusting to it.