2023, still not resolved.
So, are we to manually click each dashed line with the linework tool, set to <invisible>?
Overlaying floor plans? Eeeeek!
This is really only a problem if you have different floor to floor heights and your treads are not perfectly aligned in plan (in other words, you have different intermediate landing depths or different tread depths).
In the image below, the stairs from the level below have a different tread depth, which is why we see the "beyond" lines, based on the view range disclaimer about stairs (found here). The same effect would happen if the intermediate landing was a different size, "displacing" the tread alignment. Note that all of my <above> lines in my view template (or visibility graphic) are still checked, because I do still want to see the portion of stairs going down (without overlaying multiple plan views!). The dashed lines are for the treads as they continue up:

I recommend you use the same tread depths (uhhh, check your building code!), then align the treads from floor to floor, unless for some reason you require a different landing size (in which case, you're doing the idiocy of using the linework tool set to <invisible> etc):

Hopefully this helps, or that there is some kind of useful information in this.