The time to submit an appeal is tight. By the time you figure out what's happening, you might end up with a late appeal, and those are almost always losers. This is winnable.
You're being too logical. I got a horrible decision, and I thought I could call, and talk to someone to redo it. It was a waste of my time, and luckily it didn't make me late on my appeal. Once the decision is issued, if you don't like it, APPEAL. Save the envelope with the postmark, and everything else.
The sooner you appeal, the sooner you get a hearing date, and get it in front of a hearing officer who is paid to think, the better off you'll be.
While I'm not in your state, I had the claim experience from hell and learned a lot. Further in the process, I appealed to the board of review, get a decision in July. Appealed to the board of review panel, and got the SAME identical word for word decision again signed by the same lone judge as in July in September. I knew something was wrong because it should have had the signature of three judges, not one. I called then too, and wanted them to submit my appeal to the panel so I could avoid another 8 week wait. It wasn't going to happen. I submitted all the same stuff with minor tweaks again in September, and then waited to November to get the decision that I should have had in September.
My opinion is that so many new people were hired to handle the case load from the great recession that depending on who you get, you might be getting someone that is dumber than dirt. You have what it takes to appeal, and the path of least resistance, is to follow the process. Trying to deviate because you're trying to speed things along was a failure for me, and I don't want you pulling out your hair trying to reinvent the wheel, or worse, missing a deadline.

