The naming is not consistent. As Wikipedia puts it,
This article follows usage in the United States. Readers in most other countries should read “two-way” or “SPDT” for the United States “three-way”; and “intermediate”, “crossover” or “DPDT” switch for the United States “four-way”.
The switches I’m using are marked with cute “ON/ON” labels which I suppose could be a metaphor for something.
I have such a hard time when I need to stop doing one thing and start doing another, especially when that requires traveling somewhere. This gets me in trouble fairly often.