There may be a win-win middle-ground here?
Sony could conceivably sell a breakout box to make PS VR2 "semi-wireless". It'd be an add-on you could slip into your back pocket that is essentially a battery pack plus the basic chipset to catch the WiFi stream from PS5 and feed that to the video, audio, and haptics of the device.
It'd be a simple, somewhat inexpensive add-on (there's no heavy-duty gaming hardware in the Pack, the PS5 is still doing all the work processing and depicting the game, same as the 1-wire solution we have now,) it could be added at a future date, it uses everything PS VR2 already has available to it (the same USB-C cord could do both jobs, you'd just wind it up shorter; PS5's WiFi 6 should be able to stream VR at near-wired speeds like PC wireless does,) it would be optional for those who are somehow susceptible to the difference (although come on, everybody arguing against wireless VR for "quality reasons", try Quest 2 remote with a PC, WiFi VR can be achieved at high quality,) and they can sell it as an aftermarket improvement rather than trying to launch with two separate PSVR models of wired & wireless.
Players would still have a wire coming out of the headset, but instead of running all the way across the room and potentially becoming a hazard for the player (or their console), it'd just run down your back and for the most part you wouldn't notice it. Roomscale and stand-up gameplay games would be easier to play with, accidents would be less frequent, Sony could make a few extra bucks selling an add-on to an add-on, and we could all shut ourselves up over the whole "Wired vs Wireless" debate because why not both...
Early patents for PS VR2 seem to have hinted at this. Nothing in the current messaging has shown any movement in this direction, however.