Mosh and terminal multiplexing

Reading this Q&A on the site: Can I re-attach to a mosh session? made me wonder about the use cases for mosh. Say I start tmux on my local client, and then mosh to a remote host from within tmux. From this mosh session, I start a long process on the remote machine that e.g. prints info over time to stdout. Say that I then lose connectivity on my client, or that I restart my local client (for whatever reason). Will I be able to (1) re-attach to my local tmux session, (2) **still** see my mosh connection alive, and (3) still the server process running and displaying its output in it?