That's a very high fucking horse to be standing on top off when their device is specifically made to be plugged into a television. Y'know, the thing that almost never can display an image with less than 100 ms of latency even in "game mode". Any decent bluetooth codec has less latency than a standard TV so that's a bullshit excuse.

Also there are low latency bouetooth codecs like AptX-LL with less than 40ms of E2E delay. Sony could enable bluetooth for those devices if it can negociate a low latency codec. They could show a warning about how they can't guarantee the user experience. But they won't.

The real reason is that they want to lock their users into a walled garden where they have an effective oligopoly. It's a very old and scummy business tactict. It's that simple and there's no need to regurgitate their pathetic excuses.