Agreed. Might be due to curricula of medical / grad schools that historically teach Sn/Sp/PPV/NPV so people are used to binary classifications

Agree!

Unlikely to be the case; clinically patients (and clinicians) tend to have really hard time processing continuous variables.

This has been a disaster to medical decision making. One of many ramifications: pre-clinical changes in HbA1c are associated with a worsening of multiple clinical outcomes (not just risk of diabetes) but clinicians & pts wait until HbA1c crosses a (too high) threshold to act.