I have shortened a number of doors and observed a number of shortened doors.
I have replaced doors with hung doors.
I have replaced doors with door blanks.
I have framed buildings and hung blanks.
I have framed buildings and installed pre hung doors.
I have nailed trim around door frames.
I have fixed allot of doors that were improperly pre hung at some lumberyard.
I have made a few doors that weigh over 100 pounds.
I have fixed allot of doors that don't fit the jam any more.
Lots of doors, you can't tell they were shortened.
But it is easy to spot the ones that were lengthened.
It is allot easier for two people to get a door back up with the pins through the hinges.
I would work with a partner.
Take the door down and set it on two saw horses.
I would draw or scribe a cut line
I would clamp a straight edge to the door and use a saber saw.
I would put the door back up.
If more needs to be cut off, but is too little for the saber saw, I would use a die grinder.
As the above posters wrote, if you break through into hollow core, you should fill it with wood.
If corporal punishment for women and children is domestic violence, then gun control is domestic spying.