Now, yes. First, I don't know if that is a deterrent or not. With on demand streaming available 24hrs and the amount of content over the many years the model could become new shows are not just shown at night, but are announced by date and time when they first become available, or they could keep a schedule similar to now where the first airing is at a specific time and day at night.
Second, maybe they act like a local, they have daytime programming often seen on local channels, with their (expanded) morning news programs and some syndicated. We can think of what the mold is now but what it could become.
I also would discount the possibility of regional streaming, if you want news more local to your region you pick that online stream. Could be the New England stream as an example. That already exists by the way on some cable systems where they have separate news for different areas they cover.