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Amex & TD Bank only pull EX. As well as USAA...of course, with TD you have to be in their footprint and USAA you have to qualify for membership. I'm not sure of others that consistently only pull EX. Chase might, but they also may double pull EX and EQ. Citi & Disco might -- but they may also pull EQ - it's a crap shoot. There's a post around here somewhere that lists banks and what they pull... you'll have to search for it.
And if the only difference is the AU, then there shouldn't be an issue if a lender were to soft pull post-approval. The AU might be giving you a big age boost. I lost 30 points when my profile was really young and thin and my AU account was accidently removed from TU so...