A real COLT Commander receiver has a shorter dust cover and a more rearward placement of the recoil abutment than a COLT Government Model. If you put a G.M. upper on a Comm. lower, the first would leave an ugly gap with recoil spring showing, the second might affect function.
"Full sized" refers to the butt length and use of a standard 1911 magazine in Commanders.
I don't know about the various clones and mutants, the makers take different approaches.
You ought to be able to arrange a trade, the Internet is full of people talking about putting Commander slides on Government recievers. Which sometimes works and sometimes not.