It seems to me I remember the hinge pins also having a knurled section under the head of the pin similiar to wheel studs and maybe hitting it from underneath does push the pin up but the top portion of the hinge is flexing upward keeping the pin in place and you are not breaking this knurled section bond.
You may want to see if you can take a screwdriver and wedge it under the head of the hinge pin to help lift it upward. If a screwdriver doesn't work, modify a cold chisel and put a notch in the middle to make a mini pickle fork tool. You may also have to grind the chisels flat sections to make it more pointed with a more gentle slope to lift up the head of the hinge pin.
I too have found out by lifting up on the back edge of the door it takes pressure off of the pin and bushings to make it easier to get the pin out.
Jim
You may want to see if you can take a screwdriver and wedge it under the head of the hinge pin to help lift it upward. If a screwdriver doesn't work, modify a cold chisel and put a notch in the middle to make a mini pickle fork tool. You may also have to grind the chisels flat sections to make it more pointed with a more gentle slope to lift up the head of the hinge pin.
I too have found out by lifting up on the back edge of the door it takes pressure off of the pin and bushings to make it easier to get the pin out.
Jim