I feel like they should just call it the Finch Line now. The Sheppard isn't called Sheppard East. It doesn't make sense unless they are sure they are either going to split service one day or that they are never going to extend it past Yonge, neither of which are things they can actually be sure of yet.
Its terrible naming to use wayfinding in the name. Like the Eglinton West bus, Eastbound.
"Take the Finch West Line Eastbound" adds an unnecessary level of confusion.
Just like not adding "Yonge" to "Eglinton station" on the Crosstown. They all are Eglinton station! The whole line is Eglinton. That name is meaningless in that context.