I just tested my version of Firefox (Fresh from Play Store) and it worked without issues on my end to login to the server.
The only browser I’m aware of which doesn’t support it is the Duck Duck Go Browser which is a shame. They don’t seem to care about enabling WebAuthn support.
I have several services. Home Assistant is not one as it’s still a WIP for the person who’s developing a solution. It works, but I’m sort of holding off until I can test it more with the mobile app.
https://github.com/christiaangoossens/hass-oidc-auth
But, to answer your question: I log into Tailscale with it. I also have it connected to Proxmox and Portainer Additionally, I have it connected to Pomerium so I can log into my FreshTomato Router with a fingerprint :) I also have a self hosted PasteBin connected to it.