I don't quite see how. All Bajorans supposedly would demonstrably have a pagh, while humans at least can debate amongst themselves whether they have souls.
Ah, to separate it from the other religions of the galaxy? Might work. But then again, other touch telepaths would also be in touch (literally!) with their inner paghs. If the Vulcans call it katra, isn't that more a job for the Universal Translator than a practical way to distinguish between the two religions? (Assuming, that is, that the Vulcans have a religion as regards their katra; their religious fervor might be all spent on the logic thing, with everyday banalities such as immortal souls excluded from these higher metaphysical ponderings.)
Of course, it does seem to work just that way in other respects: "Vulcan" and "Bajor" don't get translated into "Dirt" even if they both mean the very thing, so creating an artificial distinction between Pagh and Katra and Soul might be done the same way, too.
I wonder... If Vulcans and Bajorans can verify the existence of this Soul-by-another-name with their touch telepathy, within their respective species, and they have touched the inner selves of humans like Sisko or Archer, is there already an established verdict on the existence of a soul in humans? Data on how immortal it might be? Nicely quantified assessment of Good and Evil, case by case? Heated religious debate on whether these satanic pointy-ears can be trusted on the issue? Any movement towards unified galactic religion as regards the soul business, if it turns out to be something engineered to every humanoid by those ancient meddlers?
Timo Saloniemi