Moose,
No matter what, it can be confusing as you didn't grow up using the system.
I am assuming here that you read on the taxi that it was indeed on its West End route. Since the route taxi was still on the route it remained a route taxi.
If you negotiated the fare, then the route taxi becomes a charter taxi. Technically they need to place a charter sign in the window so other potential passengers know that they won't be picked up. On a quick run this is rarely done.
