Bike tires are completely different animals. Round, not flat like car tires. Air pressure is most important for traction and handling - and safety of course. You’d get handling problems long before seeing any wear issues. That’s my opinion at any rate.
While that does make sense, I made the comment because I have seen a couple of bikes with inch wide wear strips right down the center of the tire. Not sure if it would do the same if underinflated, being round and not flat, and of course you’re right, handling would definitsely be affected.