He did influence people, because he was a master of improvisation and great player. He made people want to play like him. But I don't think he introduced anything fundamentally new to guitar playing. Even in his national anthem, which is an uncharacteristic piece for him in many ways. He uses feedback, which hadn't fully caught but was also not really pioneered by him, and improvises with skill beyond pretty much any other guitarist. But essentially, I think his style is basically the style of his time, the same used by bands like Cream, the Yardbirds, Black Sabbath(pre-metal), and the like. He was just better at it.
You take a look back at how people jammed before him, and there is no one who played the way he did before he broke out.
I'm not sure that anyone has since. I think he was just incredibly talented in "feel" playing in improvising in a way that hasn't been seen since.
Example - His rendition of the Star-spangled banner.
This is also an unusual piece and pretty different from most of his recorded stuff. Obviously live we have less evidence.
I still think it is similar to comparing Mozart(genius and natural who just seemed to intuitively understand music in a way beyond his peers) vs. Varese(sonic experimenter who searched for new sounds from his instruments). The results are even the same: everyone remembers Mozart and talks about how he changed music. Varese is respected by a few people, mostly within the classical music world, and while he did much more to change the shape of music than Mozart, it's not credited nearly as much.