The Jose is considerably less polished than the other Friedmans I've played. Would I trade my 2203 for it? No, but I doubt I'd trade my Jose for my 2203, either. They're different, but both have that ripping upper-mid cut.
I think part of what people are hearing in those videos is the IR (Rocco) or cab + mics (Euge). T75s don't have the upper-mid aggressiveness that Greenbacks or V30s do. Rocco's vid comes a lot closer to what I'm experiencing in the room. When I play my 2203 through T75s, it doesn't have quite the same bite, either.
It's been a while since I've played a vintage Jose Marshall, but the Jose gets there for me. Most vintage Jose Marshalls aren't in the best condition anymore, and even if restored, probably don't sound exactly like what they did when they left his shop. The Friedman Jose is new and healthy. Jose built each one a little differently, too, and the Friedman Jose is meant as a best of collection. It's not supposed to be a copy of a specific vintage Jose.
Are there better sounding vintage Jose Marshalls? Very likely, but it's also likely that there are worse sounding vintage Joses, too. Not to mention that what works for one player may not work for another. I think the point of playing in the first place is to sound like yourself, anyway. The Jose works for me, gets me the sounds I want out of it, and inspires me to play. Anyone else may have a different result, of course.
I do like how Jose's family was involved with Friedman in the development of the Jose.