Mickey, my comment was not specifically about your household, only a manifestation of the feelings the original question evoked for me and only me. I have seen punishment/reward systems in relationships. It is my experiences which shape my responses, and if I don't quote anyone, I'm likely just responding to the OP, or the general tone of the thread. In this case, it was the OP.
My relationship isn't like yours. My husband never fucks me. Ever. Okay, okay, sometimes. But sex is just not a part of the marriage I care about anymore other than for procreation. How can I care when he just isn't interested? I'm not any more or less aroused when he does chores.
When I used to be interested in sex with him, any advances were met with rejection unless everything was absolutely ideal. He couldn't be in the middle of doing something, no matter how trivial. We had to already be freshly bathed or have time to bathe. And he had to be horny, which he never is. He wouldn't allow me to flirt with him, or fondle him. Even if everything is as he would want it, I'm usually barking up the wrong tree approaching him for sexual contact. There is no spontaneity to our sexual encounters. They are scheduled in advance.
He loves non-sexual affection, but only if he isn't busy, and I don't have something I'm supposed to be doing instead of snuggling. He gives out kisses like they're made of gold and as hard to come by as paisley planets.
When we do have sex it is unbelievably good. It is always followed by hollow promises to be more open to my advances, and to request sex more often, and not by scheduling it with me, which just isn't appealing. He asks me to initiate more often, but I refuse. Why should I ever initiate again? Every once in a while, he is in the right place at he right time. My hormones go on the warpath and he gets molested, and doesn't resist. But usually, if I want sex, I go out and fuck someone else. You know. Someone who won't say no, who never says no. Someone who begs me to come and play if I've been busy and haven't been by in a while. Someone who makes me feel desired. Not my husband. I like having sex with my husband; I don't like trying and failing to have sex with him.
So, as one might extrapolate, responsibilities are completely divorced from physical contact in my home. There is less than zero mental connection for me between the two. Without anyone else's perspective to consider, the idea of linking the two seems preposterous, but again, only in my bubble. I translated the question the only way I could, and answered it the only way I could. My answer remains:
No. I'm not turned on by a man's willingness to do tasks which would traditionally be seen as mine, nor am I willing to lay him extra just because he knocks my work out if he can and I fall behind. I can only assume the same is true for him. He isn't more interested when I maintain the car, wash the walkway in front of our apartment, remove the trash, walk the dog, or go down to the base tailor with his uniform when I know he's forgotten an impending inspection.
While there are chores that end up being his because I just don't want the responsibility (like I won't take out trash after sunset because I'm afraid I will encounter roaches at the chute) we don't really have assigned tasks. We're just two people in love with a lot of stuff to do. We get the stuff done based on what we say we will do. What are you going to do today, Honey?" "Oh, Sweetheart, do you have time to do...?" It works for us. There is no extra nookie, neither incidentally as a reusult of adorableness during one's labors, nor as an expression of gratitude. Conversely, there is no nookie withheld because of failure to complete a mission. I would see any deliberate compensation system as one of punishment and reward, and I disapprove of such an arrangement. I hope my answer, which is no longer succinct, is clearer now. If not, I have to apologize, but I don't know how else to express my thoughts on the original question.