Comment by Ancient

No, because ... - Not all bosses are programmers. - No everyone knows about Git or how to use it. - Who regularly Git Blames lines of code to see who the author was? - Who would rather see the author name stand out in first line of code file versus doing Git Blame? - You can easily move the codebase without the Git history to another location (easy to delete the .git subdirectory).

So it's best to add the author name as many places as possible and distribute it.