Boards with height differences

In medieval warfare, terrains with height differences played an important role. Here I'm trying to introduce this in a chess variant.

Let's say we introduce higher ground, indicated by a red dot, and a second level of even higher ground, indicated by a white dot, like this:

How will height differences impact the movement of known chess pieces?

Steppers

A stepper that moves to a lower square, can extend this move with one more square, but only if
- the first square is vacant (no leaping)
- the second square is not higher than the first square (the extended part of the move cannot go uphill)
So when these conditions are met, the stepper essentially becomes a 2-slider.

In the diagram with Guard on c3, Gc3-c5 is not allowed.
Gc3-c1 is not allowed because c2 --> c1 is uphill.
In other directions, the Guard can now slide till the second square.

Leapers

Same rule as for stepper. With the remark that we look at the landing squares only. There is no constraint on the height of the other intermediate squares.

In the diagram, the height of d3 and d4 play no role.
The white Knight attacks the black Knight, but not the other way around.
Nxb5 is legal but Na7 is not.
Ne7 is legal but Ng1 is not.

Sliders

A slider is blocked after its path has gone uphill once.

In the diagram, the white Rook can reach g5 but not h5.

Example of an initial position

Funny 'science'

Open seek.

Who is interested in playing this variant?