Information sucks. Better to be less wrong, I guess.
AI Overview
No, Jimmy Page did not play guitar on "Hurdy Gurdy Man."
While there has been confusion and conflicting information, including claims from Donovan and Page's own website that he did, it is now widely believed to have been session guitarist Alan Parker. John Paul Jones, who played bass on the track, has also stated it was Parker and that Page and Bonham were not involved.
It gets worse, under "Performers":
en.wikipedia.org
Note the electric guitar, not the strumming acoustic intro. Page did play session on a bunch of his stuff. Reality fades. Ears remain.