I think it really depends on your water system at home. In this apartment, the water heats up fast and gets really, really hot. So it takes about 5 seconds to reach the desired setting. There’s also a pretty good range where it feels good to get in. So it’s just not worth putting a lot of thought into it.
At other apartments, I’ve had more involved systems.
This thread is making me think of that blog title: Reality has a surprising amount of detail.