Does an Airbus A320 Navigation Display depict constraints for flightplans other than the primary?
No, just the active flight plan.

Those constraints are part of the pseudo-waypoints, which are predictions that are only displayed for the active flight plan.


  The system calculates various predictions for the active flight plan and updates them continually
  during flight (...) The MCDU and the ND show these predictions, each of which is based on specific assumptions.
  
  (A320 FCOM)