Satellite cameras don’t have a 2D sensor you can find in a traditional camera. Instead, they feature a long narrow sensor. As the satellite flies over the earth, the sensor records a single row below the satellite. That row is oriented perpendicular to the satellite’s velocity. As the satellite flies, it scans a long strip of land underneath.
It works similar to a flatbed scanner. Can you film a video with the scanner? I don’t think so.
https://en.wikipedia.org/wiki/Push_broom_scanner
About Bin Laden, the live satellite feed was not filmed from space. The feed was recorded by an on-body camera of an American soldier, transferred to a telecom satellite, then back to Earth, at Obama’s place.