The ring would be created with a CAD machine so it will come out exactly as in the picture.Love it! I think if the emblem is going to be set on top of the flat surface (embossed? :confused sorry, I don't know the right terminology that might apply here) then it would definitely look better rounded.
Have you thought about taking the entire source picture, with the outer rings and branches in the design, and making a signet or seal ring out of it? I think that would be awesome.