by default, it phones home to find updates.
Do you have a source for that? I just did a rough check using nethogs (on my Arch box) and I didn't see any connections originating from kitty.
I also found this comment from the author mentioning that he wasn't a fan of automatic updates (which implied it wasn't a feature).
and no I dont want to do automatic updates, am not a fan of those. If and when you have an issue or want to try new functionality, its just a simple command to update it.
Hmm, sounds like you used a binary build that wasn't packaged by your distro, which explains why I didn't see any network traffic from my Kitty which I installed from the Arch repos. The config docs mentions this: