I would agree the name should be on there - it should just be non-prominent, and on a single side only.
This is the jist of my complaint. I don't argue against having mint marks, web site address, company name or any other such thing on the coin, I argue against it being so prominent! Look at any U.S. coin for example, there's stuff all over it identifying where it was minted, what country minted it, etc. but the face and reverse of every coin is a portrait, building, or some other image. The image is prominent both heads and tails, not the minting information.
Practically every .999 silver coin in existence carries adequate markers that you can identify the mint, quality of the coin and some other data easily, but most do not carry giant advertisements for the mint on an entire side. This coin is supposed to commemorate Bitcoin, not your company.