I applaud your dedication to making sure that all the sex stuff ties back into the core *game* you're trying to win at the center of everything. It's exactly the core design goal of Trap Quest too, and I'm so glad I'm seeing more and more other devs go this route and make even better and higher quality games than mine with this core design element.
I agree that lust could largely be ignored, but it is also difficult to reduce. I imagine that making lust more punishing will make the game significantly more difficult than it was before.