Seems likely. I think the earliest versions I have of this are from The Clemencic Consort, Rene Zosso and Esther Lamandier. Best's is a little different, but the melody's migration from early-early music LPs into the hippy consciousness of the 70s / 80s seems more or less assured. Hell, it was one of the first tunes I played upon taking delivery of my first crwth from Tim Hobough circa 1983 and I remember it being a firm favourite with the various medieval musicians I crossed paths with at the time.   

Digging out the old crwth a few years back I found it still fell naturally under the fingers : Medieval Crwth : Cantiga #159 Improvisation 2009

The one I remember puzzling over back then was Cantiga 79 (Ay Santa Maria), the melody of which suggested Little Rabbit Fou Fou and Alouette.