Public keys are by definition public so they can be spread freely all over.
Forwarding will never compromise your private key. Of course, as you point out, if you forward THROUGH a compromised system, someone could hop on the key forwarding and come along for the ride. And, as another commenter pointed out, they could always hijack your access on the final system to create their own user accounts.
And also why a good SSH key manager like https://Userify.com to distribute your public key can make forwarding easier.
Public keys are by definition public so they can be spread freely all over.
Forwarding will never compromise your private key. Of course, as you point out, if you forward THROUGH a compromised system, someone could hop on the key forwarding and come along for the ride. And, as another commenter pointed out, they could always hijack your access on the final system to create their own user accounts.
And also why a good SSH key manager like https://Userify.com to distribute your public key can make forwarding easier.