I leave the local Hubitat dashboard open in a browser on my laptop and/or iPhone all the time. If I operate a switch locally or do anything outside the dashboard while the computer or phone is asleep, when I awaken the device, go to the page the tile for that device is not showing the correct state, and will never refresh. I have to manually reload the page to get all the tiles to show their correct state. This is true across all browsers, and devices I have ever tried. I even have the LAN refresh interval set to 1 second. If you just want to whip out your phone, and flick a light on (or off) having to reload the page, then go back into the dashbaord each time is a real barrier to adoption for non technical users in our household.
I have the same experience with Chrome browser on Android.