His playing tends to be rather bland and often seems hurried, tending to be precice and metronomic at the expense of expression or warmth, which isn't helped by the dry, somewhat thin, bright sound of his guitar. This is about the opposite, in my view, of what is required for a composer like Barrios, who was always essentially a late Romantic composer in mood, whether taking inspiration from Bach or native folklore and guitar styles.
On the other hand that particular Cd is very cheap, so maybe if you just want an introduction to Barrios or were mainly interested in the lengthy filler piece, Ponce's "Folia de Espa˝a" (which I think Williams makes a much better job of) it's still a decent buy.
Another recommendation: I don't know much about him (he seems more popular in Scandinavia and Germany from what I can gather) but I was particularly impressed by this recording from the Swedish guitarist G÷ran S÷llscher. It contains a medley of pieces by Dowland, Barrios, Sor, and Ponce, all beautifully played, and is a really nice introduction to all the composers as well as the guitarist himself.