>>770526
This misunderstanding stems from the vomitorium which is often mentioned in literature.
The -orium means a room or place, the verb vomere means to spew, and is used broadly.

The vomitorium was the exit hall, the room which spewed forth people. Large venues had then for crowd control.

If you wanted to talk about a room for throwing up in you would say a Vomeria, which isn't a Latin word because no such room ever existed.