I have also tried that in Safari.
Visiting google passkeys page gave me a green (well, blue) shield like in Chrome telling me the device is supported. I didn't try further though.
Had another clue, I've changed the user agent to "Safari" in Orion, and, well, it didn't work. So I thought it's based on some other native APIs. However, changing the user-agent to Chrome in Safari made it work (!) with both bitwarden and later (when declined in bitwarden) it asked to interact with a TouchID.
So, here I come to a conclusion that the evil company is doing its evil things again.
However, I don't quite get it why it works in my Safari, but doesn't work with the same exact user-agent (I've checked) in Orion.
