I reviewed the register https://www.federalregister.gov/documents/2011/12/27/2011-31... and the link you provided.
I don't see anything that would extend the coverage to a service that is providing a read-only view into the account, or anything that mentions password sharing. I _think_ I could see what you're describing in maybe the description of the transitive nature of Regulation E to cover "non-bank payment providers", but I don't see anything that would protect me if I shared my bank password with Mint via Plaid?
I'd love to know more, and as a lay person I'm having a hard time working my way through all the language of Regulation E.