No idea, never tried it -- not sure why you would want to run a terminal emulator remotely. Isn't it easier to run the terminal emulator locally and ssh into the remote server inside the terminal emulator?
in case you don't have your favorite terminal emulator installed on the machine you are sshing from which would be common with one like this
Presumably, if you are going to do network forwarding, your machine will be network conencted, so just install it. kitty is designed to run from a single directory if needed, so you dont even need admin permissions to do that.
I connect to a bunch of Linux servers from three OS X machines and one FreeBSD machine. I also use a solaris server, none of the servers have monitors. I'd install it on one of the Linux servers cause that's the only thing supported currently.
OSX/freebsd support should not be too far away -- see issue 5 in the kitty github for the status of the OS X port.