It's funny, because I quit using WSL because of high latency. I can't say input latency is a big deal to me. I can always wait 100ms for the buffer to catch up with my typing.
But when most commands have 500ms of overhead that is another story. My Xfce4 terminal running in a Hyper V VM is so much faster. If only there were seamless copy-paste. (Incidentally, I tried using Virtualbox but the latency there is more like WSL.)
You could always run VcXsrv to act as an X server.
Then you can launch GUI apps through your Hyper-V based VM (or any hypervisor).
It has seamless clipboard sharing that works out of the box once you enable the option.
I even went as far as running i3wm through VcXsrv for a while but ultimately gave that up since multi-monitor support didn't really work, but if you have 1 monitor it was actually quite usable.
But when most commands have 500ms of overhead that is another story. My Xfce4 terminal running in a Hyper V VM is so much faster. If only there were seamless copy-paste. (Incidentally, I tried using Virtualbox but the latency there is more like WSL.)