> Couldn’t the MITM ssh server just forward the client’s fingerprint to the legitimate server?
The client sends not only the public key, but also a signature, and that signature depends on the output from the key exchange, so it's "bound" to the shared keys negotiated between the client and the server. If the MITM server does separate key exchanges with the client (pretending to be the real server) and the server (pretending to be the real client), the signature won't match; if it forwards the key exchange between the real client and the real server, it won't be able to decrypt the packets.
That's the best thing about SSH public key authentication (and HTTPS client certificates): even when MITM can impersonate the server to the client (because the client didn't verify the host key), it can't impersonate the client to the real server.
The client sends not only the public key, but also a signature, and that signature depends on the output from the key exchange, so it's "bound" to the shared keys negotiated between the client and the server. If the MITM server does separate key exchanges with the client (pretending to be the real server) and the server (pretending to be the real client), the signature won't match; if it forwards the key exchange between the real client and the real server, it won't be able to decrypt the packets.
That's the best thing about SSH public key authentication (and HTTPS client certificates): even when MITM can impersonate the server to the client (because the client didn't verify the host key), it can't impersonate the client to the real server.