MSF uses that to condition you to get into the habit of using both brakes simultaneously and especially at higher speeds. I am not sure if you had the misfortune of a beginner rider in the class dropping a bike , but we did. That’s when the instructor explained what happened, why and a real life situation that would be better for it.
In a parking lot or speeds similar if you turn the handle bars your bike is slightly off balance… you are the counterweight…. touch those front brakes harder then you can adjust instantly for and you will go down…. or come close. Use that rear brake more in that situation and being that it is aimed straight with the frame it will not have that tendency to drag you down. Good illustration is to look at your bike while it is on the side stand…. notice how the weight of the bike shifts when you turn the handle bars from one direction to the other. Without the stand you need to be the counter balance to keep the bike up…. that sudden shift of your weight forward…. bike leaning slightly to the side…. and down you go. Which is also why they emphasize getting the bike up and as straight as possible for emergency stops in a turn.