The Felston DD540 can delay up to 680 ms, but even that is far short of several seconds. It appears that the TV or radio source (the later one) is intentionally delaying their signal, perhaps for the purpose of muting objectionable content, or to more easily switch in commercials and such.
Good luck trying to find something to create that much delay.
Of course, this could be created by a computer program, using a disk for buffer space.
Alan