I tested this and this is not the case. My .bashrc does a lot of things such as custom completions that are expensive that I would not want run by anything else other than an interactive shell. It also has return at the end so if anything I don't know about adds stuff to it, it won't get executed. This would break other scripts loading .bashrc as well. So as far as I can see this is false.

From the manual:

When an interactive shell that is not a login shell is started, bash reads and executes commands from /etc/bash.bashrc and ~/.bashrc, if these files exist. This may be inhibited by using the --norc option.

So interactive, non-login shells only.

But also:

When invoked as an interactive shell with the name sh , bash looks for the variable ENV, expands its value if it is defined, and uses the expanded value as the name of a file to read and execute. [A] shell invoked as sh does not attempt to read and execute commands from any other startup files

So only when invoked as bash, not as sh.

Thank you, very helpful. That explains why I have to have my .bash_profile source .bashrc for use with tmux, as it executes bash as a login shell. I knew I had to have this but wasn't 100% on why until now. Note to self, RTFM!