Yes, my point is that since *BSD does not contain the original UNIX code anymore, it is no more UNIX than Linux is, since it was basically rewritten from scratch.
I understands your point but it's wrong because UNIX is system, not a single component. UNIX was generic name until it trademarked. See books, see complete code: http://minnie.tuhs.org/cgi-bin/utree.pl . As you can see, BSD UNIX still contains lot of code from BSD UNIX.