I have a 96 MIK Fat Strat-needed a good set-up and a couple of dings in the body that I touched up and are now hardly noticeable. Mine has the maple neck, stock electronics, plays and sounds great. Mine was cheap-only $150-but took a while to dial in-seems nothing was set up correctly-probably why it was being sold. Once I dialed everything in to suit me-it's great, doubt I'll part with it ever. Mine is definitely solid wood-no laminate or plywood-haven't weighed it, but isn't light!
When you say "fat" do you mean the neck or was that a particular type?
Where were the 80s Squiers made?
I had one around 84/85? Loved it. Actually convinced me to shell out for a MIA Strat. The Squier played better I swear. The MIA was clearly better build quality, but the Squier just felt better
I definitely wish I still had that one.