it’s really a package deal.
There are individual parts to the recipe that can make a difference but together really start to shine.
the “on and off” snap you’re talking about is generally the best imo when the power band comes on strong in what would be considered the middle of the rpm range and pulls hard through up onto the top seeing as most people spend next to no time on the “bottom” end.
Proper porting, a light flywheel, a good timing curve, high compression, pump setup, exhaust and intake/carb setup, etc, all play individual important roles in chasing the “hit”.
You can have a engine that pulls fairly mildly in the low/mid and crazy hard up top that feels snappy all around but in reality it’s just blasting off to 7k+ rpm as soon as you grab the throttle.
like mentioned above the height of the exhaust port plays a very large role in how linear that power is. One of the important major differences between big companies billet monster engines is the ports. Their angles, how many, the port timing, etc. Case volume. Rotating mass is also a big one.
Thats why power valve engines can perform so well across the entire rpm range. A smaller exhaust port at lower rpm and a nice open one at higher rpm.
In my youth and learning I once raised the exhaust ports on a 760 cyl considerably by accident and still had what I considered at the time a fairly snappy motor. Compared to what i have experienced later on not as impressive, but to your average rider pretty snappy even with a tall exhaust port.
My old 5 port dasa 1200 was incredibly violent from top to bottom for what some people would consider an engine more so ported to favor the top end.