I dont usually downshift going up grades but definitely do on down grades if its something i would need to use the brakes to maintain a safe speed. Coming back from a mountain sawmill with a 16' flatbed trailer loaded with lumber and slabwood with the Suburban I downshift until Im doing about 25 mph. I still need the brakes a bit, but it doesnt get to the point that if they failed id be in deep kinchee.
I have had brakes that would barely keep me at a safe speed and would overheat and fade, lay off them to cool them, speed goes up to scary level, then back on, trying to keep it from getting away from me. One time in the Mts in Utah the brakes did fail in such a situation and I downshifted (4 speed trans) and ended up running it into a dirt bank to stop.
Living in mountain country, every couple years the news mentions someone in a motor home that lost brakes and wiped it out on a long downgrade, sometimes killing everyone on board. There seems to be a common lack of knowledge or willingness to downshift an automatic transmission to limit speed in downgrades.
I cant tell you how many times Ive smelled seriously overheated brakes on motor homes and rigs pulling trailers coming of a long mountain grade. People should learn more about their rigs like reading their manual, and learn about the basics of mountain driving when driving larger rigs in the mountains. Its not rocket surgery, but a little basic knowledge can be hugely beneficial.