Those are common in U.S. hotels but virtually unheard of in homes. Most U.S. homes have separate hot & cold knobs running through a single faucet/showerhead, with a knob or switch to select shower vs. tub. First time I ran into the single-control shower, it took me a while to figure out how to work it as well, and I've lived in the U.S. my whole life. It was pre-YouTube as well, so I just had to fidget with it.

I've seen the thermostatic faucets before (I assume those're the ones where you twist to adjust temperature & pull to adjust pressure). They show up in more modern upscale hotels, and in people's homes when they've remodeled their bathroom. I think they tend to be an aftermarket add-on rather than a typical part of construction, though - no idea why, they're much more convenient than the alternatives.