I've no experience of the other Jazzes that you mention, just wanted to say that although Fender gets a fair bit of bashing about QC and many forum users go on about terrible Fenders, I would say that there are still many, many better ones than there are bad.
I know it could happen but I've yet to have a bad one, yes some have been much better than others but even the ones that weren't quite so good, were actually very playable once set up properly.
There is a fair bit of nonsense spouted, often based upon trying out a P or J that has languished in a shop, with dead strings and in need of a set up.