I have had digital thermostat experience once. My parents got one in the 1980s to replace a thermostat that had never worked right. (The old one would be turned up and down to manually turn the heat off and on as needed/desired. Not sure if the old was was just way off spec--say, it thought the 80 degree setting was what was really 65, or it had swings too big for comfort.) The digital thermostat worked OK, but two issues:
1. There is more complexity. I hope things have gotten better, but that model's user interface had terrible user friendliness.
2. The thermostat used batteries. Two of them. And batteries eventually fail. One did fail, and the furnace wouldn't work. There was no "Low Battery" light flashing--the display seemed normal. Fortunately, I thought to try changing the battery.