I've heard that the DOT does indeed respond .... but it seems like a credit card dispute would be more effective.
Don't go CC Dispute road. Only if you paid with Amex!
LH declined mine falsely. They just made some irrelevant BS up about denied boarding when I cancelled for a refund since all flights to Mainland China could be cancelled. Go to court if you have the option.
LH still owes me money and confirm I will get them, but not when. Could take to end of the year she said the 12th time I called.
So, you have no choice but to lend LH money for what might be a year. LH owes me like 2.500€ in total.
But after that you can sue (but begin with contacting LH about it) them for your interest (I know people who did and got like 3-600€ money/voucher)
Well, I am never flying LH again unless it's impossible and the only option.
I might not be their best customer but at least I spend 10.000€ on airfares every year at LH It's something and I know some people who will avoid LH as well in the nearest future.