The example you posted already gives the answer. Of course public services providing basic needs (rescue, health, education) should never be profit-driven.
This answer would be the correct one if the kind of situation in the OP didn't happen at "regular" 911 call centers too. If you have people involved in the system, you are going to occasionally get mess ups like this. Some people are stupid, some are ignorant and some are giant asshats and all of us make mistakes.
link to a Readers Digest story on 911 calls gone wrong(I'm not saying a I support a privatized 911 system, just that the evidence in the OP isn't enough to prove one system better or worse than the other)
