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Well I guess I hoped something like this went without saying, but perhaps it does not. It seems every month there's a new "NASA cuts live footage" story that gets posted here, right? The question that you should ask is how commonly does this live footage get "cut"? Is it infrequent enough to be suspicious when it happens? Or is it common enough that every few months you can find a lens flare that happens at the same time the footage gets "cut"?
You can watch the ISS live footage yourself at this link here: http://www.ustream.tv/channel/iss-hdev-payload
The "ISS HD Earth Viewing Experiment" uses footage from four cameras mounted on the outside of the international space station. Obviously, they do not show footage from all four cameras simultaneously, so they must switch back and forth between them, and switching from one camera to another can be interpreted as "cutting the live footage" or "cutting away" to presumably hide nefarious things. Switching cameras also seems to cause a bit of down-time during which they show a stock image with the words "the high definition earth viewing experiment is either switching cameras, or we are experiencing a temporary loss of signal with the international space station." These camera switches seem to happen very frequently.
I've had the feed open in a tab for the past half hour or so and have been tabbing back and forth occasionally, and I've seen it switch cameras multiple times. I've also seen it hang on a black screen for a while, and I've seen it have that "temporary loss of signal" message up for an extended period (maybe five minutes or so?). So at least over the last half hour or so, these sorts of "cuts" appear to happen pretty regularly.
Therefore I conclude that ordinary optical phenomena are bound to regularly occur and will occasionally occur right before the "live feed gets cut", with no intentionality or intervention required on NASA's part at all.