As the message says, the PS5 doesn't support any Bluetooth audio. It doesn't matter if it's made by Sony, you cannot connect audio devices to a PS5 via Bluetooth.
Most likely they'd have to pay royalties to use Bluetooth software on their device, and they deemed the cost too high. The same thing is true for HDMI and other things. They're proprietary, so sometimes devices won't support it so they don't have to pay royalties. (Unrelated, but I honestly don't understand how HDMI still exists though with DisplayPort being available without the licensing costs. It just controls so much of the market that it can't die.)
When HDMI was new, none of is predecessors were even 10% as universally known as HDMI is today.
DVI, VGA, Component, Composite, a few different Coax options... it was all over the place.
It's like trying to overtake Facebook today and arguing that there were social media sites before Facebook. Sure, but they weren't nearly the same Goliath.
You should read the table you linked - none of those fees relate to the cost per unit because there isn’t one. Sony locked out Bluetooth to enforce profitability in their accessory market for PS5 for themselves and their partners.
I can see that being an issue but there’s also the issue with lag/latency. Although, if somebody wants to deal with a slight audio delay I say more power to them.
That's fuckin insane. I had no idea it couldn't even do that. The crazier thing is looking it up and seeing all the fanboys defending this as actually a good thing