Firstly, there is only one Revit 2018 stair tool now.

Architecture > Circulation > Stair

Having created 4 levels slabs are placed on each to represent the floors to which the steps are to be attached.

An assembled stair is created between Level 1 and Level 2. A plan and sectional view are used in tile mode to sketch the stair. The Multi-storey Stairs Connect Levels tool is selected.

Select the levels to which the stairs are supposed to connect in the section view and then accept the stairs.

Changing the elevation of the top level results in a warning that a multi-story stair has been altered. The riser heights and number of stair automatically adjust according to the stair type calculation rules. Note: this means that care should be taken when using this tool, as it may be undesirable to have stairs of differing height between levels.

Shown below is a more extreme edit. The stair that was adjusted falls short of the landing.

Tab to the stairs and move them towards the floor edge:

As the number of stairs calculated are now uneven, even though the top now aligns to the edge, the base of the flight does not. Two options exist: Alter the slab to fir the stair, or tab to the flight in question, edit the stair (flight) and add a landing element manually. I chose to do the later in the relevant plan view.

When a step is moved out of alignment, rail path edits do not apply to it.

This is evident when looking at the stair at the top.