Think about what a compromise of the LB means in a world where the encryption (TLS session) is not end-to-end. The LB can now steal all the content and lie. So, same thing.
If connection security is a priority, you need the TLS session to be from client to destination server with no MITMs. This is where mutual TLS authentication is ideal, since any would-be MITMs can't fake being the client.
This is why allowing TLS MITMs such as cloudflare is such a terrible idea if confidentiality matters at all.