I'm don't follow - but have you checked (or unchecked) Annotation Crop?

You need the section cut to show on the 2nd floor, correct? But you don't want the crop box of your section to extend up to the 2nd floor(in doing so, your section cut disappears)?

I might use a "Reference Other View" section.

If you haven't used one of these, yet, here's where to find it:

Go ahead and set the crop box on your mid-landing section as you prefer. Take note of the name of the mid-landing section view. You can even place it on a sheet and give it a number.

Back on your 2nd floor plan, create a new section, BUT, before you place it, look at your options bar. Check the box for "Reference other view:" ... in the drop down box, find your mid-landing section and choose it. Now, place your section cut on your plan. (Most likely, your section cut will have the word "Sim" next to it. This is because it's not the actual, live section. (I tend to leave this to make sure I remember that it's not a LIVE section, but a link to another section. If you want to get rid of it, there are other threads discussing the process.)