This is in the same territory as the advice I see sometimes to make sure you don't turn the steering wheel while the car is stationary ("dry steering") because "it will put stress on steering components and shorten their life, and it will damage the tyres".

These pieces of advice are technically correct but catering for edge cases that won't affect 99% of drivers/vehicle owners. Modern cars are designed for the way people use them; people run their tanks to empty all the time.