If it's pure branding/awareness, probably not much. If trigger terms get involved, that's a different story. Most that I see include the FDIC verbiage and often the EHL info, even when it doesn't apply. Overkill doesn't hurt, but if you don't need it, use the time for something more useful, or don't pay for the extra time in the first place!
I'd make sure you only use first names for employees, if you use them at all. If I had my preference, I'd leave out name entirely, and just have them in a shirt with a logo to make it clear they're an employee. Social media makes it a bit too easy to connect the dots. (e.g. we recently had a teller who got a friend request on Facebook from a customer, based only on a first-name-only name tag, but they have an unusual spelling so it was pretty easy to find her)
Someone's about to get horned!