And outside of gaming consoles it is becoming increasingly more rare to connect anything to the TV outside of the luxury segment (as even build in sound often is better then any external sound up to a price region where the lower luxury segment starts, so buying a slightly better TV without an external sound system is often better then a cheaper system and external sound).
And many of the "killer features" of HDMI (like network over HDMI) are semi-dead.
And DP is royalty free, HDMI isn't. So gaming consoles probably would love going DP only.
So as far as I can tell the only reason physical HDMI interfaces are still everywhere is network effect of them always having been everywhere.
I.e. if there is a huge disruption HDMI might go from everywhere to dying off.
And USB-C is perfectly suited for such disruption (long term).
I mean everything from server centers to high speed interconnects of consumer PCs is currently moving to various forms of "PCIe internally". USB4 and NVMe just being two examples. So it might just be a matter of time until it reaches the console/TV space and then USB-C with USB4+ or Thunderbolt would be the way to go.