I do know that CBS opted out of TVE and launched All Access in order to generate more revenue. So let me rephrase my original question.
Instead of lumping All Access within TVE, create a new & separate source similar to Locast. This will allow your users the ability to have all four major networks within your app instead of using an extra app to access their local CBS station. And this can be expanded to NBC, as you mentioned, if they also decide to opt out of TVE.
I think the whole point of the Channels app is provide a one stop shop tv viewing & recording experience. Right now, if you couldn't get an OTA feed, the only other option is to add Locast (and only for users lucky enough to be located within their 17 cities) and donate another $5 per month. But for someone who's already paying $5.99 or $9.99 for CBS All Access, that's a little too much.