How would the use of power bars lead to overloading a circuit if the occupant is limited to 2 appliances?

My computer work station has 8 plugs yet its total current draw is probably less than 4A except for the 30secs it takes to scan or print a page.

The problem with extension cords and appliances is voltage drop caused by the typical 18-16AWG cords most people use. I have a "dorm" size refrigerator in my basement that says I can use it with an "appliance" rated extension cord.