I don't know your age. I'm in my mid-seventies. But, on the planet where I lived and played drums in the 1950s, 1960s, and 1970s, most drummers who played with two toms up front, played either two 8x12 or two 9x13 toms. I don't think that this was unique to Chicago.
I passed the 68 goal post last September - Born in '52. I wasn't living on this planet during that era. I was living north of Boston. It was more common to see and 8x12 and a 9x13 up top, which I think became more standard because that was what the catalogs showed. My first set was MIJ in 22, 12, 13, 16 configuration but I abandoned the 12 almost immediately. I don't recall seeing anything else in the drum shops, but that surely doesn't mean it wasn't there. I do think twin 13's would have been unusual. I have noticed over the years that the Canadian drum sets more often had a 20, 13, 16 or 20, 13, 13, 16 configuration than we saw in our area.
Tonally, a 12 and a 13 makes a bit more sense. You more easily get a second voice. You'll notice, however, there was initially an issue with having the tops of the toms level. Rogers makes a point in their literature for the new Londoner mount. You could have a 12 and 13 at the same top level. I think the idea was to avoid getting hung up on the second tom if you were running around from snare to floor. The earlier double tom mounts didn't have that flexibility (though the Top Hat did). Thus the early Ludwig Hollywood and Gretsch Rock 'n Roll kits with twin 12's. But later Ludwig and the Rogers mounts allowed the tops to be even. Gretsch and Slingerland seemed to be later getting there.
So your earlier entry on the scene would have found a different situation than my entry beyond the mid-point of the '60's.