Eldo, you always get the yearly forum prize for most hours on the forum, posting at 5:29AM. Honestly I don't remember cleaning the rest of the tire, just the whitewalls with the SOS pad (no Brillo in my house, back then, anyway). Not too long after high school I got blackwalls...I must have been doing something with them though, because I remember having a discussion with a guy at work (who should be on this forum, are you out there, TC?) about it and even buying him a can of that DuPont Tire Black paint that no one remembers, so I may have been using that also.
Once I got cars with aluminum wheels, I used to use P21S and I would scrub the tire with what ran off the wheel; that worked pretty well, then I would spray them with tire foam (see below), before I came to my present forum-addled state where washing the wheel is a separate operation from washing the tire.
When I came to these forums almost 20 years ago (well, this one didn't exist then) I was using the Armor All Detailer's Choice tire foam, which I remember getting a lot of razzing (that's a whitewall-era word) about.