Basically it is how it presents itself as xterm-kitty and then how to make others recognize that. Installing terminfo on the remote is an option, lying and claim it to be xterm-256color is another (with caveats.)
As in other issues with kitty, the author is probably right. But for many people that they have many different kinds of remotes to log into where they don’t have control over, getting around with these issues is tedious.
Making kitty works is possible, and I learnt how to deal with these issues one by one, but hearing comments here on HN points me to wezterm and once I migrated I never looked back. For the simple stuffs wezterm gets out of the way. And there’s some interesting advanced stuffs to pick up, such as multiplexing with ssh: https://wezfurlong.org/wezterm/multiplexing.html?h=ssh#ssh-d...
Also saw Wezterm pop up last week and definitely decided I'll give it a go here soon.