The `LocalCommand` parameter only runs a command on the local machine
after the connection is established.
Is there no pre-connection hook?
My use case is simply that I do port knocking to expose my ssh port, and want this working automatically at the SSH config level so that I can use it transparently from other utilities (e.g. Ansible inventory, Emacs over TRAMP)
Or you could make your own 'ssh' shell script somewhere else on the filesystem that handles it for you.