Everything in "cuddle together" and then onwards uses the default not chosen names, like... "Maggie lay in peaceful slumber" etc... even the popup explaining mastery has it: "impact Maggie's Influence level".
Really not sure how I feel about the switch to a sandbox as I'm not a fan of them - they're generally always there to stretch games out with grind that're sparse on content... but hopefully you've got a good reason for it... however, as now it'll be a pain to play multiple routes I can't see why we should be locked into the earlier paths rather than getting to explore say both the domination and exhibitionist paths by levelling her stats.
Also is my memory hazy or didn't the gf character already fuck the friend so that makes some of the dialogue kinda odd about what if she was more than a friend... maybe she just forgot because of the MC's powers.