Did the Libyan rebels lose a little global sympathy by "murdering" Gaddafi?

I’m just going to put this out there, see what happens.
For the record, I think it was unnecessary to kill the fella in cold blood like that.
Yes he was an evil bastard & if you live by the sword etc, but something just didn’t sit well with the whole incident. Reminiscent of Mussolini’s lynching in a macabre way.
A simple yes or no will suffice, but if you have anything more to offer that will be welcome too.