All of the Chicago National cards that were issued during the first printing group (150-350) of the T206 set had the "CUBS" logo.
When the first group of images were discontinued and the next group (350 Only) began production the Chicago National cards featured the vertical "CHICAGO" down the shirt.
This second logo was featured on all other Chicago National cards issued for the remainder of the T206 set. No Chicago National subject featured in the set has "CHICAGO" across the chest.
I understand that a Schulte proof with "CHICAGO" across the chest exists and that an early Tinker proof design could of conceivably had "CHICAGO" as well. But I find it highly unlikely that the remnants of a previous design would make it through the proofing process and to production. I honestly don't know what's going on with this card. It's very intriguing.