Does syncthing not support iphone? Because on android it works flawlessly.
That's why ios apps generally either use their own sync, or use iCloud. As someone that has a mix of devices (iOS, Linux desktop, macbook for work), this leave me with very few cross-platform options.
This background process issue may prevent optimal operation, but I've never seen a file not being synced quickly in practice.
Just get Möbius Sync (https://www.mobiussync.com/) and don't overthink it.