I'm a Weavers fan. I can see how it feels "fluffy" to those used to more modern sounds, but...
Their music develops tremendous momentum exclusively from vocals and acoustic stringed instruments. The rhythmic urgency feels (to me, anyway) like it underlies a lot of the music that came out of the rock movement and the tonality presages a lot of country music. I also think that the vocal harmonies are beyond great. I find many of those old traditional folk bands forward looking in that respect.
Clearly not everyone's cup of tea (and definitely a reach for hard rock types), but I find that there's a lot to like for an open minded fan of contemporary popular music.
Marty