I would say there is only one way of correctly hitting a golf ball, that is with solid contact on the sweetspot with the clubface pointing directly at the target through impact.
Quirky swings can work but rely on small adjustments of the hands and wrists that can, and will go wrong more often than a well grooved classic swing. I see golfers with these odd swings hit some long straight shots but then all too often their swing falls to pieces. IMHO is that after all these years anyone styling there swing on Hogan's principles will have the best chance of bringing out their best in the game.
Regarding the shorter backswing. It is normal and quite correct for the golf swing to be laid off or shorter looking with
irons and longer looking with the driver or long
irons. The swing will be the same it's just the additional length of the club pulling down against the wrists that gives the impression you are making a fuller turn. You should always make a full shoulder turn in the golf swing.