The force that the pin hits with is only part of the deal. Most important is the shape of the end of the pin. The proper shape is that of a tapered wedge, sort of like a exclamation point, wider at the case rim and tapering towards the center. Proper shape also calls for the striking edge to be tapered also, so that it hits the rim first. There is info on the web about proper rimfire firing pin geometry, I read it in depth when I built a custom ruger 10-22 rifle.
The force driving the pin forward needs to be much less with a proper shape pin. Round flat pins or somewhat sharpened round pins are far from correct and would take much more force. Think in terms of lbs per sq inch, if the lbs is constant (spring rate) then the smaller area pin does indeed deliver a harder blow. Again, shape of the pin is most important also.
Just google \"rimfire firing pin shape\" and there is plenty to read/learn
Also, force required to detonate can vary a lot from brand to brand of ammo, the same for centerfire primers.