I suspect that the old adage 'water sinks underground when it flows onto limestone' is, at best, a half-truth. I think that the only way that caves can form (in limestone) is that there should be a pre-existing network of cracks and fissures for water to penetrate; I've no idea how big they'd have to be, but not mere hair-line cracks like bedding planes and joints in the walls, floors and roofs of caves often appear to be.
If there is no pre-existing network for water to seep or soak into, then you'd have a common-or-garden surface stream, with no cave. So maybe the limestone beds and joints at Gordale are tightly sealed, hair-line cracks, while those further west are more open?