Does it matter if the fan does not turn when the motor is energized for a long time?

You're talking about a single-phase condenser fan motor! After this kind of motor is electrified, the hysteresis phenomenon will increase the current and make the motor temperature rise! But most of them will not cause the motor to burn like a three-phase motor!

Stall motor had better not be energized for a long time! Don't say it's a waste of electricity! An environment with poor heat dissipation may also catch fire!