Now that WSLg support (https://github.com/microsoft/wslg) has landed in a release version of windows, another approach to this is to create new WSL distros for specific tasks, and run browsers from them.
I tried doing some full-screen 3D engine development in SDL through WSL2 early this year, and stood up an X server for it. It didn't go well, so I blew away the WSL and tried running VMware Workstation 16. That was okay, but performance was surprisingly poor. I did some Googling and came to suspect that Hyper-V was the culprit. It was difficult, but I managed to extricate Hyper-V from my system and run the VMware Hypervisor instead. Performance is much better now and I don't have any complaints. Now I'm wondering how this graphical WSL setup compares though. Any experience using VMware Workstation to compare it?