And so goes the entire argument for atheism as well. It is not the existence of merely some subset of our experiences which stands in evidence against a belief in a god, but it is the totality of all our experiences which go against this belief. Were there to be even a single compelling experience to warrant such a belief, like actually hearing the voice of god, or witnessing something which couldn't possibly be explained by science, or being shown a vision of the future, or some such ludicrous idea, we would have to recontextualize our entire system of beliefs with regards to this new and powerful piece of information. Religious beliefs (or lack thereof) work a lot like political philosophy in this way - it takes a lifetime of investigation to amass enough data to confirm a belief, regardless of whether you were justified in having it at an early age. I was an atheist by at least age 12, and probably earlier, but I methodically test that belief against any and all possible new sources of information (and always end up becoming still more resolved). I believe I have come to this belief in an unshakeable manner, that is, until I start hearing voices, and while there are far more things that I don't know than what I do, this seems to be as secure of a belief as any. So I will agree with you, that if we were to take an agnostic approach to the whole immortal soul issue, we would be in the same position of having to be skeptical of any and all of our beliefs, and we would be trapped in complete skepticism about everything, which would make any belief just as likely as any other, and from that all manner of absurdities emerge.
What's the point of the soul unless it does something, and look how silly it looks when we say it does: excellent. I loved the appeal to physics nerds.
Russel's Teapot, the invisible pink unicorn and the flying spaghetti monster provide ellexcelent parodies when it come to his point about Occam's razor.
"There are a large number of people in the world who believe in some form of persistence of the individual soul after life ends."
...and there are large numbers of people that believe in virgin births, a 6000 year old Earth, humans turning into pillars of salt. There is simply not a wit of evidence for a "soul" that survives the body.
Spoiler Alert: Most of the trails evaporate into thin air.
You don't say!