Sure. But there would be zero incentive for Sony, Nintendo etc to build one.
Because Acer, Asus etc could simply come along and undercut them on price and still have access to the exact same game catalog. And then they would each decide to add more proprietary features or add more performance.
And so you've just recreated the PC gaming market again.
That hasn't been a serious issue for 20 years. The overwhelming majority of big games are now being released for PC on day one, the only exceptions being platform exclusives and Rockstar games.
Developers certainly have no problem making PC games.
Because Acer, Asus etc could simply come along and undercut them on price and still have access to the exact same game catalog. And then they would each decide to add more proprietary features or add more performance.
And so you've just recreated the PC gaming market again.