i can play the half volley with different techniques depending mostly on where on the court i play it. for me itīs mainly an improvised shot.
near the net i will probably have prepared for a volley, so i will likely use a conti grip and change the angle of the racquethead to play the ball.
at or near the baseline i will probably have prepared for a groundstroke with the appropriate grip, so i will play more or less a groundstroke.
now of course you can call what i know as half volley a short hop.
and then find alternate names for the technique you use.
i just donīt see the advantage for my players, but iīm open to good arguments