Nope, despite the connections employee-wise between Be and Apple, Apple definitely never had a hand in the OS--they probably saw it as dangerous competition, if anything. Maybe the other people in the argument got confused because of the Be buyout rumors just before Apple picked up Next?
I had a release around the midpoint of its development (either v3 or 4, I think 3) running off a Zip100 disk on a 6500 back when OSX was just a rumor. It was a really nice OS, even at that early stage--surprisingly swift multitasking, lotsa nice services, easy-to-set-up networking, and so on.
I even had a friend who owned a BeBox, but I never saw it.
Of course, I'm happy with the modernized OS we actually ended up with, but that OS sure had potential. Shame it was wasted so.