We remodeled our bath, a couple years ago. First I had to explain, to our experienced plumbers, and the wholesale/retail showroom people, the difference between a thermostatic mixing valve and a anti-scald pressure balancing valve.
All this said, I chose a Delta thermostatic mixing valve. Almost all of Deltas valves use 3 maybe 4 different internals, the big money is in offering a thousand different exterior facades, spouts etc.
My cartridge valve really holds temperature steady. It runs cold until it hits the set point then holds steady as long as there is hot water. If the cold water is interrupted, the water flow stops to prevent scalding.