You are correct about BSD /dev/urandom vs Linux /dev/urandom. But since LibreSSL isn't likely to be used at boot time, it doesn't try to work around that issue. Instead, the concern is "what should we do if we can't open /dev/urandom?"
For what it's worth, the "exploit" requires (1) the user deny access to both /dev/urandom and the sysctl interface, (2) multiple levels of forks (a child never has the same PID as its parent, but a grandchild can have the same PID as its grandparent, and (3) the grandparent must exit before the grandchild (PIDs uniquely identify all running processes). It's not something that will happen by accident, even to incredibly careless programmers.
But I do agree with the BSD guys that Linux should have another way to get entropy in this case (note that they have a similar file for OS X for similar reasons). And I hope it's not named CryptGenRandomBytes().