In fact this music was for vihuela, a guitar shape instrument but tuned like the lute (the renaissance one, with frets, as I'm playing, not the oriental one, played with a plectrum and no frets, same family but not the same instrument)
The spanish music for vihuela can be played straight from the original tablatures on the lute, as it was done at this time. Lute was played in all Europe, also in Spain, and vihuela mostly in Spain and Italy. We have books (Morlaye for example) edited for the lute, including vihuela music. All this music can be played on the modern guitar just with tuning the third string from G to F# to emulate the lute or vihuela tuning.
Count Basie: I don't worry about virtuosity. I do what I like to do. If I'm a virtuoso, that's great. If not, I'm doing what I like to do.