Its been awhile since I set mine up but you need to configure the shortcuts on iOS to run the background sync function in addition to the “Watch for changes” setting. I had mine setup to run background sync when certain apps were open (obviously Obsidian is on that list) and also whenever I changed networks. Unfortunately Apple won’t let it sync all the time but if you setup the shortcuts appropriately it’ll be near real time sync even if it doesn’t perpetually show as connected on the UI on other devices.