Depends on what you're using it for. If I'm just joining part of a crowd-sourced asteroid detection group (which would require some hardware other than what they put up), I don't need access to it 24/7, if I can batch up some photos I can collect them in batches, etc. I wouldn't use one of these for internet access or something, I've got much better options for that already.
My original post imagined only a radio relay satellite. You're talking about something that's much more interesting, a satellite with sensors and a way to relay its data to the surface. I'm sure this will happen eventually, and I agree it's a pretty exciting prospect.
In your scenario, a small number of overflights each 24 hours would be more than enough time to download the stored data.