That's incorrect. There is nothing in a passkey that identifies it as a "key from KeePassXC", so it can't be blocked.
BitWarden exports passkeys just fine as cleartext, or to be precise as a file encrypted by the user-specified passphrase. So you can then decrypt it at your leisure.
While I don't agree with the grandparent's fears, you're only half correct: The server can mandate that you use an authenticator from X company, so some sites might block KeepassXC, even if they don't block a specific key.
BitWarden exports passkeys just fine as cleartext, or to be precise as a file encrypted by the user-specified passphrase. So you can then decrypt it at your leisure.