Because technically, scanning a stream while it is recording and scanning it while it is streaming live to a client are essentially the same thing.
The only way the two topics become different and separate is if you want to have the overhead of kicking off a fresh scan every X minutes against the recorded portion. There are two different approaches to the same task, and one of the approaches will work equally well against live TV as it does for in-progress recordings. So, since one technique encompasses both situations, live TV is relevant.