Aww, the crime syndicate would be hilarious, creating our own "family" that ran things in the lower plate's society XD
But alright, with Rene I never would see Danii ask or in anyway try to go home with her. Danii just doesn't have that sort of interest and is more so as a person prone to keeping her history out of things unless it proves to be a seriously emotional situation for her. I kind of even forsee something that happens over the course of months. One day Danii notices Rene but does nothing but take note of it. 2 weeks later, she sees Rene again. I've even considered Danii protecting Rene from some incident as their "first confrontation", but that's more for you to decide.
Also, Danii would probably stick around if Rene were to have a depression attack, though how she'd help might be slightly indirect...in the sense that what she would say doesn't exactly match up with "helping" someone through their depression, but the views of them depend on the person. I still think that Danii would see something of her childhood in Rene prior to meeting with Anne. Danii was someone in the background going unnoticed, under appreciated aside from her father, and having a rather solemn view of the world until Anne came into her life, and even then the only person she really cared about was Anne.
Again, with Lyon I feel like it'd be a chance encounter or much farther into the story when/if Rene trusts Danii enough. I foresee it either happening right before the start of the game, or sometime during the earlier elements. I honestly think that if Danii were to protect Rene in some way, it'd mark a semi-milestone (as in, it's not necessarily important to the overall story XD) and in Danii's view, it'd be her protecting herself. Regardless if it happens in backlog or in actual story, I feel like they'd make a very...dark sort of friendship from the outside.
With Dominic, I think that'll be the case, maybe. I feel like he'd know more of Anne who was put into many situations that were unfortunate rather than Danii, though if he brings that up to her...might not spark a "good" situation unless Dominic can bounce back from knowing a bit more past than Danii is comfortable with haha.
Florence just seems like it'd be an odd relationship XD Every now and then they'd meet but in odd and quick spurts. Probably nothing solid until Lyon enters the picture or something happens that I can't think of right now.