What you wrote would sound wonderful to a rational person. Someone open to being more with you, someone wanting to work on a satisfying marriage. Your H is not that person. In fact, I could bet my paycheck that he will pull the heck away from you if you push "I want to make love with you, not have sex" on him. He is giving all he can give right now. That can be fine, BUT, it is NOT fine because you are not fine. The only one you can change in this mess is you.
TOH I should hope that you know I meant "Do you want to be in this exact same spot in your marriage 365 days from now?". Because even if H isn't with OW, I can see him dating, flirting, and starting something new with someone else WHILE having sex and being married to you. I know this because it happened to me. xH broke it off with OW and continued to find others. We would still be married if it were up to him.
Our sex was good (in the marriage), but wasn't often enough. Guess what? You don't 'owe' H anything. You don't owe him sex, or need to show him that things have changed.
OMG I had to laugh at the 'moose' metaphor, because I was a total dead moose on xH's doorstep last summer. He practically had to step over me to go out on dates, all with me saying "I love you, have a nice night". Yup, been there done that. DON'T want the t-shirt.