I think you could find a lot of people who use this website could tell you about the numinous benefits they get from walking ancient trackways and visiting ancient sites and wandering between them. Things to do with being in the same places that people were long ago, seeing the same rocks, feeling the same breeze on their faces, hearing the same birds and the sound of the streams. That's connecting with the landscape and nature (and I guess our prehistoric ancestors, though they might not put it like that).
But if you're asking for people who believe in ley lines and walk those. I think you'll need a rather different type of person. Because I think there were times when ley lines were 'in' amongst a certain type of hippy / fringe demographic. But perhaps not so much now. Ley lines (assuming their existence) wander across the country... they don't conveniently follow paths and you have to get your dowsing rods out to find them. So people don't really 'walk leylines' unless they're dowsing them. And hedges and so on tend to get in the way of progress.
I think I'm trying to politely suggest that if you tweak your question you might get some interesting answers. But maybe your question is already set.