The move AI is only responsible for finding the target/position and define the speed used for movement - the actual movement is handled by the Move Component Settings of the move AI.
The Default movement component is just a very simple one to get you started, and only for 3D. You should either use a custom or 3rd party asset for that - or NavMesh, though I'm not sure if that's already available for 2D.
There's a plugin for PolyNav available.