Eames LCW no Herman Miller Badge  

Hello everyone, I just purchased this LCW from craigslist and just wanted to double check if it's legit. This is my first designer chair and hopefully not the last. The chair came with a certificate of authenticity and the original pamphlet. It looks perfectly authentic my only concern is that it doesn't say Herman Miller anywhere on the chair itself. It has a paper tag but no Herman Miller badge. There also seems to be a spot where the badge could have been but fell off maybe(see pictures)..? Apologies for my ignorance and thank you in advanced!! 🙂