The BSD license does NOT contain "All Rights Reserved." See:
https://opensource.org/licenses/BSD-3-Clause
https://opensource.org/licenses/BSD-2-Clause
That would contradict the license text.
https://opensource.org/licenses/BSD-3-Clause
https://opensource.org/licenses/BSD-2-Clause
That would contradict the license text.
If it makes you feel better, I found a link written by an actual JD:
https://www.legalzoom.com/articles/the-term-all-rights-reser...
Remind me of why we're still having this discussion. Unless you can post a link supporting your assertion, I think I've provided ample evidence at this point.