BIB: this is so key!!! There is huge risk to her narrative if she introduces a new person to the family. She knows she is poisoning the girls against their father, it’s deliberate and she knows that most of what she’s telling them is lies. That’s why (I believe) she keeps them isolated. She has encouraged and coached certain behaviours into her eldest child (possible also the youngest, we know less about this) but those behaviours would potentially also be the kiss of death for a new relationship if aimed at a new partner. The narrative she has created around Bianca will surely also make the girls suspicious of a new man in their lives. A new man could see the house of cards come tumbling down, IMO.I dont think that has stopped her from getting a new guy. Her messages to Ioan and the videos he submitted to court during their marriage shows she was in large done with him from the beginning (she was only mourning the extra perks she had with him).
If she could have she would have replaced Ioan straight away. Her issue is probably more she isnt getting the guys she wants (the ones with $$$ and if possible also good looking/famous, generous and maybe also caring, basically a Ioan but this time as rich as she thought): partly it's not her fault obviously because the guys in her age range target younger women, partly it is her fault because even if someone was interested in her after one google search/date they'd likely run away except of the crazy ones. When Alice says she regrets the way she acted these consequences are one of the reasons for it.
Obviously another reason is that it's difficult to find someone when you have children full-time, that's the downside of her parental alienation. It could also put her trauma bond with the kids at risk if she starts dating. But the opposite can also happen and the trauma bond is so strong that they'd accept a new partner and then she can taunt Ioan with the "new daddy" posts she already threatened pre-divorce.
Also to add on this: in a way she is also "forced" to find a rich guy if she finds a new guy because spousal support ends once she lives with a new guy (though we'll see if she even will get any spousal support, could be a moot point). At some stage though she will settle on someone that at least can provide her sufficiently, even if not as well as she hoped.