Be warned that I can take quite a while before something like this is added in an update. If you want to try it yourself it basically boils down to having the movement to each tile be a separate action. In SimulateMove, I add an ActionQueue for each move step instead of queuing the single, large move action. For each step in SimulateMove I check whatever properties of the grid I want for the tile that is being exited and the one being entered and use that to choose the specific move step action and/or input variables to modify the movement.
Seems the issue here is that you are setting the height change in the GridLocations TMap to twice the height of what you are moving the tile meshes. Check your code and see if there is any reason why it would be doubled for one or halved for the other. Are you running anything twice by accident, perhaps?