I am in a situation where it is useful if I can upload a bootloader into an ATmega32U4 using another Arduino like this, for ex:https://www.arduino.cc/en/Tutorial/ArduinoToBreadboard. I have a different circuit though.

Is there a reason to believe that this can't be adapted to ATmega32U4?

Are there any important differences between the ATmega328P and ATmega32U4, that I have to take into account for this to work?