CentOS 5 :: Find -print0 The Order Of The Args Matters?

In the man page for find there is an example for deleting core files from /tmp: find /tmp -name core -type f -print0 | xargs -0 /bin/rm -f

which I am sure does what was intended. However, this very similar command does something quite different: find /tmp -print0 -name core -type f | xargs -0 /bin/rm -f

This actually removes all files in /tmp, ignoring the -name and -type arguments. I checked the man page to see if it detailed this behaviour, but the only reference to the order of the arguments was that -name should come before -type to prevent excessive calls to stat(2) on all files. This seems very risky behaviour on the part of find and I am concerned about whether this is a bug or not. I wasn't trying to remove core files from /tmp when I found this out, but deleting other files from another part of the filesystem .