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I mean it really depends on what your wishes would be. If you're thinking big and long term then someone could really go all in on capturing the console crowd with an entirely new console ecosystem. You could definitely simplify an OS like Linux to be a lot more to be more console oriented, such as what SteamOS is already trying to do for Steamdeck and the Steam machine. Even though that will be a balancing act with the openness of the system, since 'making sure you can't easily break this' also makes it hard or impossible to break out of it in case of a change of heart.

But the whole thing with open systems is that they can do very similar things to other open systems. Which is why Linux and Windows (and sometimes Mac) are packed together under the same umbrella. So it would have to content with those three and provide clear upsides to developers, businesses, or players over those, which is hard. That's part of the reason why the big businesses love consoles, because the freedom they take from players, double as tools for them to earn more money.

Most realistically in that route, would be for either Sony, Xbox, or Nintendo, to change their tune and go down that route instead. But that would require immense force from the players to offset the profit lost from changing the status quo. So it really isn't that realistic sadly. Xbox wouldn't do it anyways because it's essentially already even more locked down Windows. Nintendo relies on their exclusives to sell their consoles. Sony would be least unlikely to do it but they recently stopped selling their exclusives on PC because (almost) nobody jumped ship back to Playstation.

The closest and 'easiest' jump in the short term is probably to small formfactor PC hooked up to your TV using eg. SteamOS. Controller support is pretty widely supported nowadays. And since most console game developers also develop for PC, you won't have any issue missing out on your games unless it's Nintendo or exclusives (but that's probably another reason to jump too). With some technical knowledge you could do it without spending a single cent on Steam / Valve if that's your concern. Since you could just run a Linux based system on a mini-PC or console formfactor with eg. Brazzite or another console OS lookalike.