Seems to me that the only way you get in trouble with the front or the rear brake is when you apply them too hard. Don't lock up your wheels. Either one. You;ll stop faster and safer if neither wheel locks up.
I pretty much always (post coaster brakes) apply my rear brake first, maybe with nearly simultaneous front brakes with a up to equal pressure if the situation calls for it. Doing that, I never skid or go over the handlebars, and I always stop in time. Part of the equation is looking far ahead and avoiding emergency situations in the first place.
My method works for me, but I suppose as long as you don't lock up the front wheel, applying the front brake first should work just as well.
TT