Well, the wireless part is already pretty much here. With a good Wifi 6E or 7 router, Virtual Desktop (https://www.vrdesktop.net) is good enough that you're limited by your GPU power more than anything else.
There's several problems with that. 1. The latency - even if fine for slower games its enough to cause slight vestibular-ocular mismatch and discomfort. 2. Compression and visual quality - not only is the quality worse but its also cost using more GPU resources for the lower quality compared to a DisplayPort signal. 3. the Wifi 6E RF bands and protocols are not suited for lossless, low latency video transmission. Especially as we approach 4K per eye resolutions, the bandwidth is not there and relying on additional encode/decode hardware adds more latency and artifacts. We also need a solution that would allow for multiple users in a single building to use wireless VR, which I don't believe will be possible with the RF bands available.
There was new Wigig standard that may have solved this, but I believe its not being used anywhere.
I am aware people use it, but its only a partial solution that introduces new issues. For certain users it may be sufficient but even if you ignore the latency and compression issues, being unable to have multiple headsets adjacent makes it an incomplete solution if the goal is spreading the technology to new users. Even multiple WAPs won't get around the bandwidth congestion.
There was new Wigig standard that may have solved this, but I believe its not being used anywhere.