Makes sense, except for "one model". I think it would be better to have two options.
One low cost, thinking mini pc with integrated gpu (like steamdeck) for casual gamers, 2d gaming, old game(r)s, etc. Would also be perfect as "home office" PC or media consumption device.
Second one would be bigger and stronger with dedicated GPU capable of "real" gaming and running all the modern games. Yes, powerful hardware is expensive, but serious gaming is no cheap thing...
Yep, I would buy steamdeck for that purpose except I'd feel it could be even cheaper as a simple and more convenient small brick without fancy display and controls.