That was clear. Unfortunately I didn't mention that was one of the things I tried. I also tried it again since you mentioned it and it didn't help. The sound is either much too quiet to hear with light static, or adequate volume with loud static.
I tried setting the dta to 2 clicks from max volume, 75% volume, and 50% volume, and controlled volume with tv. Out of curiosity and an attempt to try all alternatives, I also tried the opposite, fixing the tv volume and controlling from dta. Nothing improved the situation.
Thanks for the suggestion though.