I would interpret it more as a sort of dialectical relationship. The two ultimately ended up adopting a lot of each other, and modern UNIX and UNIX-like systems tend to contain a synthesis of features and ideas from both camps. Most of them mix use of /usr/bin & /usr/sbin with /bin, most have adopted init systems similar to Solaris's SMF over either SysV or BSD style init, etc. I think this has especially been the case post-fragmentation: with no central authority the best of both worlds can rise to the top more easily.
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[ 2.0 ms ] story [ 24.0 ms ] threadBSD won the Unix wars? what?
There were no winners. Unix remained fragmented and Microsoft stepped up.