How Bash decides it's being invoked through sshd and sources your .bashrc
In practice, a non-interactive Bash decides that it is being invoked by SSHD if either $SSH_CLIENT or $SSH2_CLIENT are defined in the environment. In a robotic sense this is perfectly correct, since OpenSSH’s sshd puts $SSH_CLIENT in the environment when you do ‘ssh host command’. In practice it is wrong, because OpenSSH sets $SSH_CLIENT all the time, including for logins. So if you use SSH to log in somewhere, $SSH_CLIENT will be set in your shell environment, and then any non-interactive Bash will decide that it should source ~/.bashrc.
This seems incredibly messy.