High output alternator recommendations

I don't know about "specifically" Autozone, but many parts store testers are not up to that task. Many cannot and do not actually load test the thing at full output, more of a "simulation.
Correct, they simply indicate any excess resistance/shorts thru the brushes-slip rings-rotor windings, & check voltage ripple to ensure all the diodes are shutting the gates under load. I'm not sure any of them "full field" them with enough load to check max output accurately.