Spent a little time reviewing some changes to my primary bank's web site (a major national financial institution). After a few minutes looking at their new "Money Manager" features, I realized I was looking at a branded version of Mint. While there is no mention of Intuit or Mint, all the Mint features (transaction classification, links to other bank accounts) were all there.
From this I deduce that Intuit will follow a similar strategy for Mint as they did with Quicken: Pitch Mint as the retail product unaffiliated with any specific financial institution to consumers and pitch a customized version to banks as a means of holding on to their customers.
This has two benefits for Intuit: it continues their three revenue stream strategy (consumer referal fees, bank licensing fees, embedded advertising) and it gives them a way to interface with financial institution account data beyond screen scraping.