No, it would be like replacing Elliott with Golden Tate. Quinn and Lawrence barely play the same position.
Lawrence is a premier run stopping LE that can get to the QB. Out of all the people playing specifically LE in a 4-3 right now, I can't think of someone hands-down better than DLaw.
Quinn was once a premier pass-rush specialist RE that should probably not see the field except in passing situations. Nowadays he's an unknown, and there's a reason his current cap hit is too rich for anyone, but he's got as good a chance in this system as any other to revitalize his career.