Most reputable sources will specifically say “not cold”. Both first aid trainings I have taken have outlined specific cases where starting with warm and then moving slowly to cool water will help prevent blisters.

YMMV.

Depending on the severity and type of the burn, and the amount of time that has passed (ideally none), actually yes you would.

Cold water is the opposite of what you want to put on a burn. Blisters are a reaction to the rapid change in temperature not the heat.

My experience does not reflect yours. Computer Architecture, Discrete Math (logic gate math), and Operating System Concepts were all required classes in my CS degree from just a few years ago.