@AmyC -- no, the bank used the LLC's EIN, not my ("owner's") EIN, and in the passage you quoted, the IRS is referring to the owner's EIN, not the LLC's EIN, which is different, as you can see made explicit in the example that the IRS provides (bolded below) as part of the passage you quoted:
"For federal income tax purposes, a single-member LLC classified as a disregarded entity generally must use the owner's social security number (SSN) or employer identification number (EIN) for all information returns and reporting related to income tax. For example, if a disregarded entity LLC that is owned by an individual is required to provide a Form W-9, Request for Taxpayer Identification Number (TIN) and Certification, the W-9 should provide the owner’s SSN or EIN, not the LLC’s EIN."
