The source for this version is by the James Moody Quintet, July 13, 1951 (Vogue LD036 , Roost 544) - at least that is what comments on th Prestige reissues say. But I just listened to the track on YouTube (which wrongly dates it in 1949) and understand your doubts. But there is no other Moody recording of that tune ....
The liner notes of recent CD reissues are very helpful in this respect, as they state the source tracks for most of the King P?leasure recordings, especially the Blue Note CD which includes the UA LP plus one unreleased track:
https://www.discogs.com/release/4578051-King-Pleasure-Moodys-Mood-For-Love
I am working on a King Pleasure discography, to be published online in a few months, stating all the source tracks.