Inception, with SSH

I was trying to access one of my shared hosting servers (Server A) using SSH. Entered the password wrong a few times, and got my home IP blocked.

I already had an SSH session in another VPS server (Server B). So I SSH’d to Server A from Server B’s SSH session. I am now copying data from Server A to Server B by creating a SSH session (SCP) from Server A’s SSH session (within Server B’s SSH session).

Me -> Server A (SSH1) > Server B (SSH2) > Server A (SCP/SSH3).

Should I create another SSH session from Server B’s SSH prompt into Server A to verify that the data got copied? :D