English as a first vs second language in action! Also, much of the European world refers to a "powder room" as a toilet, which generally might only include the toilet bowl as well as a small sink for handwashing.
Toilet like many words has several definitions.
2. A room or booth containing such an apparatus.
3. The act or process of dressing or grooming oneself.
Key hint to definition was: 'toilet sink'
See also: Eau de toilette
"Powder room" doesn't always need a toilet, but they usually do. The essential hardware of a "powder room" is some kind of mirror and a sink. They were the spaces for guests to get cleaned up and get their makeup and wigs right. These days its pretty much a synonym for a half-bath, but a half-bath always has a toilet.
I personally prefer spritzing my face with a faucet instead of a toilet.