it should continue to run, the generator is supplying power, so you know that's good .... OTOH, not sure I'd trust Autozone to do a proper load test unless you stand there and watch
"When we tug a single thing in nature, we find it attached to the rest of the world" ~ John Muir "When we tug a single thing on an old truck, we find it falls off" ~ me Some TF series details & TF heater pics