The 40s era swing band + bobbysoxer artwork on the album page should have been the first clue.
Here's another example of the page Houdini allegedly "signed" in the 1940's and a sample of the copyright page of the album that was used to create the now PSA'd signature.
I showed this listing to an advanced Houdini collector (not a general autograph collector).
They responded that the OP looks perfectly legit. I pointed out the issues regarding the 1945 paper/album it came from and they agreed that that is "troubling" but that the signature looks much better than any other fake they had seen.