Having never owned a MIA Fender, I can't make that comparison. However, I have owned a few MIM, a current MIJ, and a couple of Squiers.
The first MIM Jazz was a 2001. It was not impressive in any way. The sound was decent, as was the fit and finish. I got it off the used shelf at GC, and it went back there within two weeks.
My next bass was a VM 70s Jazz. By all accounts, and excellent instrument that I would rank much higher than the before mentioned MIM in both aesthetics and sound. I just recently traded it off for the next bass I'll mention; but I might-have-should-have kept it around. There really wasn't anything I didn't like about it.
The MIJ is a Geddy Lee that I traded the above mentioned Squier for. The fit and finish are absolutely top-shelf. The tone is very good, but not substantially better than the VM 70s. It's a keeper, but I may consider upgraded PUPs in the future. Then again, I may not.
My newest MIM was bought off the used market for $400ish. It is probably my favorite bass to have ever played. It is a 2013 sea foam green PJ that I believe to be a Guitar Center exclusive. The only complaint I have about that bass is there is a bit of a ridge at the very top of the skunk stripe. The previous owner pointed it out, or I might have never noticed. It does not appear to be a structural problem in any way, just poor sanding and finish. However, I never notice it during play and have to feel carefully to find it.
There were a couple of other MIM and a Squier along the way. They were fine for what they were, but didn't stand out as either really good or really bad.
So If I were going into a music store for a NIB instrument and the VM 70 was $299, the CV 60s was $369, the MIJ Geddy Lee was $899, and the MIM PJ was $799; I would really have to consider the CV 60s. However, the used market changes the dynamics quite a bit. If I was considering a used VM 70s for $175, a CV 60s for $225, the MIM PJ for $400, and the Geddy Lee for $600; The Fender name starts to make more sense. Heck, I saw a 2007 MIM Jazz listed just the other day for $275, but I wasn't fast enough to snag it.
Either way, I wouldn't rule out an import Fender or an import Squier. Some are bad, some are good, and some a great.