This Neighbourhood is inhabited by customers, just like you. We have no insight to Telus business plans, and no connection to the internal workings of Telus. We volunteer to share knowledge about Telus products and services which we have gained by experience or surmise.
In other words, your crystal ball is as clear as that of the rest of us.
@Chicnstu is correct. The content providers, W Network in this case, would be in control of providing us with, and requesting removal of, content from their respective On Demand libraries.
For Outlander specifically, I can provide some details based on my personal experiences. I noticed that they had the season premiere episode up pretty quickly, but the latest episodes since then have had a 2-4 day delay before I've seen them in the On Demand library. Our content teams ensure the shows are updated as quickly as possible once we receive the titles/files from the broadcaster.
I can do my best to find out more about when you can expect this week's episode, S4 E5 from Sunday, to show up On Demand.
I hope the above info helps!