Move over "no damage runs" and "only using starting equipment runs", here comes the "no dicks runs"
I beat both games. in the first cs1 I beat the game with 0 lust at all and in cs2 I killed every enemy before they made me have sex with them. However it is imposable to beat cs2 without the submission bar filling up without the lucky charm. Also I had to use the hyena cologne to beat Khazeem in that run. HOWEVER somehow in my first run of the game I somehow killed Khazeem while being at 75 submission with no hyena cologne. SO IT IS POSSABLE. tdlr no sex/dick runs are possible with no items that block submission in the first 2 games, you just have to get super lucky with rng so reloading like 50 times.
Yeah, it comes down to a lot of save scumming for the most part. That sounds about right though; I just wasn't sure exactly how "pure" of a run was possible because while I'm careful to never make sex that's 100% unavoidable, some of the side stuff leading up to it might be. Definitely possible to beat Khazeem without the cologne though, in fact I think most people do, they never put 2 and 2 together despite the hints. But I deliberately left that open as a possibility, it's just supposed to be so tedious that it prompts you to look for an easier way.
Yeah there are some enemies that are straight up scripted with when they will use there moves. It can be super annoy and a run like this takes 4hrs extra just because of the scripted moves like when the hyena look at you and you have a single turn to kill them or kill an enemy to reduce how fast the submission meter goes up.