They do. You mark the programming you want. For instance I "marked" NCAA college football in Sony Vue and it records EVERY college game for you.
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Oregon game in the background. Upcoming and New listed by the little colored badges at upper right of each item.
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This game was "recorded" 10/8. In reality its just in the cloud to call up when and if you want it.
It's pretty awesome because you dont have to manage it. But if you want to keep it forever you'll likely need to do something else. I had stuff on my DTV DVRs when I returned them that, in the end, I was kind of meh about keeping when it came down to the work to do that.