I think you nailed it.Honestly, although this is goodman, there is way to much cluster'd crap for this to be goodmans fault.
Installed by a friend.
Installed in a mobile home.
Installed in a closet.
No AHRI match as of yet.
Installer can't figure it out.
No Tech rep in area.
Unusual static readings.
Some weird government test that can be cheated.
Homeowner trying to contact the manufacturer.
Opened the refrigerant circuit more times than alot of systems see in their lifetime.
Finally, 13 pages.
Your relief is not through goodman.
It is through the contractor.
Your coil is wrong for the heat pump. Sized fine for cooling, not for heating.
Your airflow is crap, compounding the issue.
Your contractor called goodman, goodman told him they won't touch this abortion, because their up to their rear in their own abortions that they've created.
Which is why goodman won't come out.
I think I mentioned this earlier, but the reason they don't deal with you, is because they don't want to, and they don't have to. They want to talk to their customer (the dealer), not the dealers customer (you).
The reason goodman can't help you, is because there is nothing wrong with their equipment. It's operating the way it should operate under the circumstances.
Call a different individual out who has experience with goodman equipment.
I've never heard of goodman refusing any warranty because a different contractor was used.
Most likely, you have no labor warranty with goodman anyways, you have a 1 year labor with the contractor.
OR for that matter, did anyone even register this equipment with goodman?