Actually I think she is just very motivated right now and does not want a relationship to screw up her plans. She told him that to protect herself, not him.Lynette really comes from a very rich family and is somehow connected with Royce, but he already received an inheritance - $ 5000
Lily's motives and what she wants are still unclear, but I think she loves money. For example, in Ep.8, she says that working at Pink Rose will allow her to pay for her college education and not be left in debt after. That is, this is a pragmatic approach, I met this with Capricorn girls (stereotypes of zodiac signs, hello)