Well, there's also the 24th-century shows' complete avoidance of Constitution-class ships, even though they had a ton of Excelsior, Miranda, and Oberth-class ships from the same era.
By most accounts there was only ever about a dozen Constitutions ever built and by TNG they were museum pieces. You may as well be decrying the lack of three mast, first-rate wooden ships of the line in a WWII movie.
The Mirandas and Oberths while about as old or older, they were much more utilitarian (to say nothing of economical) designs so it makes sense they'd make a lot more of those and that they'd stay in service longer in ancillary roles. Not so for ships of the line. One they're superseded they're more or less obsolete. The ones still operational can still serve a secondary service, but there's no reason to keep cranking them out. Indeed, going vaguely by the reg numbers, most of the Excelsiors we saw that were still around seemed to all have been built in the early to mid 23rd century, so they were already in the process of being aged out.
And really, the Intrepid and Sovereign classes were meant to be part of the big push to rebuild the fleet in the wake of Wolf 359 with more combat-oriented designs, or at least that was the impression I got from behind-the-scenes sources. So it was incongruous that the Dominion War fleets consisted primarily of older ship classes.
Why? Those designs were only a few years old at most when the war broke out. Exactly how many do you suppose they would have built vs. the hundreds of Excelsiors and Mirandas they've been cranking out for almost a century?
Plus, what we saw of the large fleet actions (of which we only saw about 4 or 5 out of potentially *hundreds*) was mostly way out on the frontier. It makes sense to keep the newer more advanced ships closer to home, both to better protect the more valuable assets and because they're largely untested, whereas the Galaxys and Nebulas and what have you each had a good decade of field operations under their belts to work out all the quirks. It's really not a good idea to field unproven designs on the front lines.
Again though, there was probably only a handful of each of those two classes in the whole galaxy, so it's a bit academic give the very narrow view we had of of that conflict.
Getting back the the relevant topic: like I said, the Corellian freighters are supposed to be all over the place for decades if not centuries. These aren't big warships, they're *civillian freighters*. Something akin to the Ford Transit vans of the galaxy. So it feels a bit odd that we never actually see any is all I'm saying.
Wookieepedia at least still considers it canon because George Lucas is the one who stated that it is the Falcon.
I really don't hold wookipedia as the authority on what is and is not canonical. Now on the other hand if Pablo has said something to that effect, that's a different thing.