At the height of Television's notoriety, some performances could veer into "sheets of sound" territory. But he pared back his style over the years. There are also a couple of freely improvised tracks on WARM AND COOL (1992).
Tonally, I hear some similarities with between Verlaine and Richard Thompson. To a much lesser extent, John Cippolina. But there's hardly any blues vocabulary in Verlaine's playing, and he played guitars that rockers oh his era had no use for (Fender Jazzmaster and Jaguar, which became the axes pretty much every post-punk guitarist picked up). I'm not sure where else some of his notions of structure, counterpoint, and — dare I say? — swing could come from but jazz. E.g., this solo:
Patti's Smith's elegy for him provides some additional insight into his musical origins. According to her, he started out as a saxophonist.