It's ultimately a problem of language and terminology.
The "ways" are the terminals. Three terminals, three "ways" (ways = doorways, or ways in and out of the switch).
But consider:
1. Such a switch can have two latching positions: up/down, as is normal with wall switches.
2. Or such a switch can have three latching positions: left/off/right, as might happen with a rotary switch.
3. Or such a switch can be momentary, only switching when held down, as might happen with a microswitch.
All are "three way switches" electrically, but all different in mechanical operation.
So at the end of the day, you need to explain very carefully what is intended, and perhaps also draw a schematic, to make everything clear.