This is all excellent info, thanks for laying it out! I'd forgotten the other character in Deer specifically "sees hidden things" and gets an added element of parsing secrets and abnormalities through his power, so we gave him an extra hint. Oz parsing as "Strong Young Yet Old Aura, but nothing else" sounds good.

That said, we are playing with the Ozpin/Oscar merge, and have established that there's some continual blending going on between them in Deer; they have a soul-deep link within the dream. I'd expect this to primarily manifest as Oscar's aura feeling like Oz's, but I do think Oz's aura would also feel different, even if the exact nature of the change isn't immediately clear.