Do whatever you want with it.
I found several other listings for the 1953 "You Asked for It". One of them implied the Houdini clips were clips from Pal's Houdini film, and not of the original Harry. But most of them read as if the clips were old newsreel or movie footage of Harry.
It's possible that there were both, and it's possible that they were all Harry, and it's possible that they were all Tony Curtis. Hard to tell at this point.
But it is clear that Houdini got on TV well before 1976, and well before the 1963 "Fractured Flickers".
(and appropos of nothing at all: My son is at the age where he likes to watch the Disney Channel's "Jake and the Neverland Pirates", which is based on the Disney "Peter Pan" film. Peter Pan had Hans Conried as Capt. Hook, and the current voice actor for the character in "Jake" imitates Conried. That's Conried on the front of the DVD set of "Fractured Flickers". "FF" was produced by Jay Ward and Bill Scott, who also did "Rocky and Bullwinkle", which also featured Conried. It's "Rocky and Bullwinkle" and the Wrongway Feldman episode of "Gilligan's Island" that I think of whenever Capt Hook appears on "Jake and the Neverland Pirates", and that's what jumped into my mind when I saw the DVD box you linked to.
And for those who don't want to spring for the DVD set of "Fractured Flickers", HERE'S
the opening of the show. And HERE'S
Conried interviewing Rod Serling from "Fractured Flickers." And HERE'S
a clip with an escape artist.)