I haven't followed this thread in detail, but the topic is important to me, so I'll dip my toes in for this brief comment. If it is meaningless to the current debate, then please simply disregard it.

The physical nature of the universe is not completely understood. There is wide spread belief in the dimensionality of the universe exceeding three, but disagreement on the exact number.

If there are more than three dimensions, then there is the possibility for things, that apparently are unconnected as far as the usual three dimensions are concerned, in reality do have an immediate connection. This could explain telepathy (and a whole lot of other stuff, including astral travel, and shared dreaming).

Therefore, to reject telepathy etc. completely, is not consistent with current knowledge in physics. That is not to say that telepathy is reality, for it may still turn out not to be. But, on the existing evidence, telepathy cannot be ruled out.