1. Inconsistency between versions:
From the NIV or the ESV, when printing by "Use current location" the printing goes to either end of pericope or chapter. I have not compared all versions, but in the NIV the print-preview consistently ends just before next heading, ESV (and other translations I checked) consistently go to the end of the chapter.
2. Oddities at last line of printing:
At the end of the print-preview, when printing by "Use current location," for text that has visual filters enabled (not sure if this is the deciding factor), the last line of the printed section does some funny things. See graphic below for sample:

I don't see this behavior with versions for which I don't have visual filters active for the passage. Note that something similar happens, even if the last word does not have a visual filter associated with it.
Also note that the above problem goes away if I chose to print by a specified text:

Obviously, the work-around is simple. But I'm reporting it anyway, as this is not expected behavior.
EDIT: Note that the above samples are from the LEB.