I'd like to say it's a little bit of both, on one hand Parasoul would totally be jealous towards Ben's lifestyle and the fact that down under the bridge, in the streets, literally anywhere that doesn't have a royal insignia is basically Ben's turf. The fact is, everyone knows her as Parasoul, and a lot of her side would be breaking that side of her, because she wants to be able to have a childhood like Umbrella does, she wants to be able to choose her life for herself, and heck, even go for an ice cream without having to worry about who may very well assault the kingdom and needing to train 24/7.
On the other hand, I like to think that she realizes herself that Ben would potentially be a wonderful addition to the Black Egrets, maybe even as a family friend or quite literally, the only other person she could possibly look up to besides her father. I mean, Ben Birdland? The cop that tried his best, and now he walks amongst the public a new man? The idea is wonderful, to have a new lease on life she probably thinks, but she doesn't understand exactly what Ben had to go through to be where he is now. All she sees in Ben is this Vigilante/superhero who does as he wishes and the public knows him as a True Canopian, meanwhile, Princess Parasoul awaits in her sublime castle sipping tea and "running" the kingdom.
I wanna say it's Big Band who also teaches her more about herself through the many times Parasoul chases him to place him under arrest for Vigilantism, and she learns to trust and appreciate her team more, because BB has Peacock and Ilya and the other kids, while she has Umbrella and the Egrets. Even though when she's super close on catching Ben and finally tries to get him to join, he opts out, and she lets him go.
She realizes she may not be the perfect princess amongst the kingdom, but if there are people there who like her love their home and want to keep the peace... There's no reason she should antagonize them when they're all on her side.
Dude, you KNOW it, she'll likely be more Franziska Von Karma for the sake of references with BB being Godot for the heck of it. Peacock realizes it's her big chance and goes Anime Peacock on us to boot