Are we trying to say that "snatching" is an actual technique?
I always think of it as a mistake.
Personally I don't see anything wrong with a "hair trigger" as long as the shooter can use it, can feel it properly and control the pull.
My two main rifles have this set up.
Your technique would work with a heavy trigger or a light trigger.
Unless bench rested, then holding onto a target is very difficult, so you learn to move your sites onto the target and squeeze.
Some or most come up from below, I come in from the side, settle on target and squeeze.
Most of the time I don't even "think" right squeeze, it just happens, like automatically.