Doyle was a true believer in spiritualism while Houdini was a debunker of it.
They became friends despite this conflict of views, but later had a falling out over it when Doyle arranged for a seance for Houdini where Houdini's dead mother allegedly appeared.
[1] - https://www.wildabouthoudini.com/2016/04/the-real-story-of-h...
[2] - https://medium.com/picture-palace/harry-houdinis-spiritual-f...
For example some times I (not a medium, I mean in ordinary life) really know what do I want to say and that is a simple one-word concept but I have hard time recalling the word in ANY of the languages I speak, I only have a pure meaning experience without a verbal representation to express. If I somehow could pass this sense to someone else telepathically they would still probably misinterpret it, e.g. because they have a different context in their minds.
And I would hardly waste time/traffic mentioning my birthday if I were talking to my son through an unreliable inter-dimensional telepathical connection.
It seems like what you're describing is merely a means by which a non-existent phenomenon may seem plausible.
Nevertheless it indeed seems a curious exercise to invent a framework for meaningful communication to be logically possible over a channel of such a nature keeping its fuzziness in mind.
There is no purely logical reason the universe couldn't be such that a person's soul is capable of moving the air, such that they can actually speak.
https://www.goodreads.com/book/show/27272632-summerland
A sci-fi/fantasy/spy novel that builds from the assumption that the victorians discovered a real afterlife.
Fairly unique in setting, and I found it an enjoyable enough read that I'm looking into picking up the author's other books.
The Internet Archive has a scan of the book: https://archive.org/details/1924HoudiniAMagicianAmongTheSpir...
But obviously, to the gullible public, they were getting it directly from “the dead”.