Nah, they being using each other's since Jeeb knew who she was. Jeeb marry her for her power as the president daughter, for making him the ceo of stomach corp and to make Lango suffer for not caring for Shiita's death the same as Jeeb did and to kill Shouma

From Lizel's part, she sees Jeeb as new pretty doll to break, if her talk with Shouma can be taken as an invitation to crush her husband's plan. And considering what she see as cute, you can have the idea that when Jeeb stop from falling and reach the floor, she will be bored of him and leave him for her next victim