Counter argument: the Linux kernel. (Since we are mentioning open source projects with the highest profile on earth, I don't think neither of the examples are fair)
QNX, WxWorks, Windows Embedded, Windows CE (RIP), NetBSD, FreeBSD, OpenBSD, Solaris, OS/2 Warp, Plan 9, Inferno, RiscOS, ReactOS...
It's a shame what happened to BeOS - I wonder what would have happened if BeOS was open-sourced when the expected Apple buyout fizzled and the company went-under instead of it simply disappearing - that would have put a huge damper on, say, Ubuntu and other Linux desktop projects because the whole selling-point of them being "the only usable desktop alternative to Windows on non-Apple hardware!" wouldn't be true.