I
knew someone was going to bring that up.
My "live" comment you quoted was a reply to to Freypower's comment where she said Joe played it live. He didn't, Glenn did. Let us not take my words out of the orininal context. Of course it doesn't prove anything that Glenn played it live. And of course it's possible that Joe played the Rhodes part, but as far as I know someone has just decided that and put it in Wikipedia.
Also, the difference is that (as far as I know) there's no source that says Joe played the Rhodes part on the album, but there are sources that say Glenn played the lead guitars on the album (album credits, Glenn himself, both Dons, and I think Timothy as well has mentioned it).
But everyone else seems to think (and perhaps are right) that Joe played the Rhodes part on the album, so I got my answer and there's no point in me arguing about it.