No, display corruption never happens, period, outside of a hardware problem with the watch itself. The display is not "streamed" from the phone in any way, only the contents of the data within it would be. If the connection was broken, it would simply display the last known values (like the last known temp in an App like Glance) or nothing at all, in apps / faces that use phone side data. Pebble will continue to work even without a connection to the phone, it does NOT need a phone to function at a basic level (still works as a watch, and any Pebble watch apps that don't need the phone, like a calendar, timer, stopwatch, etc, will work too). The only way the display would be corrupted from RFI would be extremely powerful RFI that affects the display driver or display itself - we're talking like a Tesla Coil, xray machine, radar array. Nothing you're going to encounter in daily life, and nothing that the watch or your phone would likely survive anyways.