By cutting the right leg of the hammer pin to 1/4" (not by 1/4", to 1/4"--no, don't measure, just eyeball) it will rest NOT on the trigger pin, or floor of the receiver, but against the front wall of the inside of the lower receiver.
Remember, the left leg was not touched. It still exerts its full force on the hammer. The modified right leg now only exerts about half of the force it did before, as it is not flexed back as much as previously. So, spring force on the hammer is only reduced about 25%-30%, not 50%. This reduces the pressure of the sear surface, and thus, the pressure needed to pull the trigger.
The trigger spring needs to be strong enough that if slack is taken up on the trigger to nearly releasing the hammer, then you decide not to shoot and let off, that despite the friction of the sear surfaces, the trigger spring will return the trigger to full engagement. Since the sear pressure has been reduced by the modified hammer spring, the trigger spring may be modified as shown. There is still enough force left, after modification, for the trigger spring to work properly.
This is an additive effect, both spring modifications have reduced the total trigger pull.
The very light polishing with the compound, NOT stoning of the sear surfaces, or changing angles, or rounding the edges (especially NOT that!), serves to remove the "grittiness" from small imperfections. This is just lapping in, a sort of accelerated "break in", which just duplicates what would be obtained with a little time and use.
There is still full sear engagement. The trigger will still return to full engagement when released. There is nothing unsafe about that! Also, if you have problems with a particular batch of your favorite 3rd world surplus ammo, an occasional misfire due to hard primers, simple replace both springs with new ones and you have not lost a thing from your experiment... but $3, the cost of the springs.
I hope this explains the why of the 15 Minute Practical Trigger Job. Perhaps I did not explain that well enough, and am sorry... will try to do better next time.