I think your rewind specialist's comment is in the 'not wrong' category. What he says is true of all machines, lights and electronics – starting and stopping is far more stressful than cruising. Leave a car engine running continually in a test-rig at 3000 rpm and it will do the equivalent of a million miles before failing.
In the real world starting and stopping is unavoidable and equipments are designed to cope for a reasonable amount of time. Nothing lasts for ever, maintenance is required, and it might be necessary to replace damaged parts. Electric motors are good at start/stop running compared with the alternatives, and being simple 3-phase motors are particularly reliable. An inverter further reduces stress because the electronics can start the motor up gently.
Inverters are all good good news except pre-1970 motors may not take kindly to them. Older designs are vulnerable to pitting of the bearings due to allowing current to flow to earth through them. Also their insulation is less resistant to voltage spikes.
Dave