Comment No, Probably Not (Score 2, Informative) 404
I was reading through the Senate version of this bill last week, and as I recall, there's language included that basically says the bill explicitly doesn't affect skipping of commercials, etc, one way or the other.
IIRC, it says you can skip through part of a work (objectionable content), but doesn't say anything about skipping whole works (which explicitly includes commercials, warnings, etc.)
