My primary language of love is touch and I am HD. My secondary language of love is words of affirmation (praise).
While I mistakenly thought that the biggest problem between my wife and myself was frequency and then quality of sex, I learned that it was really our making each other feel loved and respected.
My wife has learned to make me feel loved through touch and sex. She finds sex easier than touch, which I find frustrating as there are times that I really need to be hugged or touched in a loving way and want that much more than sex.
Don't get me wrong, I enjoy frequent sex, but I also deeply need to be touched.
The reason that I bring this up is your comment about it being obvious that the fix for your husband is "more sex." That may be a temporary fix, but there may also be a deeper need for touch that you are not yet aware of.
For my wife after I figured out what her languages of love were (acts of devotion & quality time) I could figure out ways to making her feel loved. I now try to bring her coffee in bed in the morning, make the bed while she is in the shower, fill her car with gasoline each week, do the dishes each night as acts of devotion that say to her "I love you." I also try to spend some time connecting with her in bed while we drink coffee in the morning and at night when we have dinner so she gets the quality time she needs to "feel loved." We also try to go for walks on some weekend days to spend time together talking and walking.
Good luck to you.
>43 years of marriage--My wife and I are now closer than we have been in decades. I believe that my SSM is over.