God that looks bad, I have used alcohol wipes a week or so ago and removed as much of the coating as I could. I dont know if it looks better or worse than yours, you can judge for yourself.
I suspect that in your case there is still some coating left that could be removed but it could be risky to rub it off again.
The only thing I did different was to put a few drops of coconut oil on my hand and massaged the case afterwards for an hour.
There was also someone in this thread who used a damp magic eraser, they have had much better patina in my opinion.
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