Bad luck with Autozone Reman Alternators?

[Honduh]

I've been chasing a flickering alternator light for about a week now. It mainly does it at idle with a load on the electrical system like headlights/air conditioning. The weird thing is I'm getting 14.4v at the battery with the damn light on sometimes. And when the light isn't on I sometimes get 12.9(battery voltage), weird.

I've replaced the alternator twice with reman's from autozone, new battery, checked all my grounds, and ohm'ed out every wire for the charging system and everything has tested good.

I think I've narrowed it down to either a short to ground between the charge light and alternator, which I really don't think it is because its a dim light. OR these Autozone Remans are absolute garbage, causing me to go insane.

Has anyone else ever experienced a similar problem like this?