For what OS?
Why not just run your own calendar server, then the sync issue is resolved by extant sync mechanism, rather than trying to make your own with Syncthing?
I use Syncthing to sync some stuff that doesn't have standard server sync solutions, like some text files that may get updated at either end. But I don't think it's the way to sync calendar stuff, as calendaring is an established system.
And if you're worried about getting to your calendar server, Mesh networks like Tailscale can provide an encrypted tunnel. You don't even need the client on devices, if you use the Funnel feature (which funnels specific traffic from the internet into your tunnel, courtesy of Tailscale).
(That said, I'm curious to see what more knowledgeable people come up with, I can't think of any calendar apps that auto import/export calendars).