New to site, new to Mopar overheating issues

Never saw a Mopar regulator like that.
Think I have somewhere. Definately has solid state guts.
The FLD does register.
Does?
How much ?
With Voltage at the other end around 12 or less, should see the same on the field. I'd be inclined to replace it at this point and wouldn't hurt to have a spare.
You can do the bypass test when the battery is charged up.
I bought a spare from FBO via ebay. It cost more but I really don't know its any better than the two you linked to.