Can I get rid of my sump pump?
I would say yes you should be able to get rid of the pump if it is not needed . I have had homes with a similar setup and no pump. I would probably seal the sump so if the water starts smelling it is not stinking up the house. With natural drainage I believe the system would be safer with regards to possible flooding with natural drainage especially in an area prone to power outages. Natural drainage will also have less impact on the power bill so for me that would be a win win.