Options, options, options. It seems like people forget that Schwinn would put any part they could on any bike. There's no practical reason to not have chrome rims.
However, there is something different on your bike. Probably a 65 or 67 Typhon that I'd turned into a stingray when I was a kid. However the rear stays had to be bent out to do it B/C S2 Balloon tires did not fit or have enough clearance. I expect yours would have to have been bent out to get those tires ya got too. Which also makes me wonder why you have so much clearance in your fork.
Also I can't remember about front fender but I had to bend and or really squeeze the sting ray rear fender in B/C, while I could bend the stays, the rear fender bridge was too narrow.
Gots a feeling your dad up-graded to stingray or ballooner fork once he tweaked the rear stays for wider tires too.