Internet tale! How about a certified professional website such as
https://coopergeneratorservices.com/...un-out-of-gas/
which is run by Cooper Electrical Services whose BUSINESS is Generator Sales, Service and installation.
This page states:
Running Out of Gas is Risky and Damaging to Your Portable Generator
Portable gas-powered generators should not be left to run until they are out of fuel. Allowing your generator to put out significant power until it runs out of fuel can be damaging to your generator, and possibly some of the appliances in your home.
Running out of gas may cause your generator’s coils to lose their magnetism. This happens because the appliances being powered drain the residual magnetism of the generator when the load is abruptly stopped.
The result is that with out a small amount of magnetism in the coils, your portable generator will not restart. Although recharging the coils is fairly inexpensive, it does create an additional problem that may be difficult to fix if Myrtle Beach is in evacuation mode and many businesses are either closed or working on emergency calls.
They are EXPERTS and PROFESSIONALS not an internet tale!