I'm not going to put a group members name on a group project/presentation which resulted in him getting an 0 for the project
Did he contribute to the project and expect his name on it?
He did not contribute or ask for his name to be put on, he just expected I'd put his name on it.
If a person does not help with a project, he should not expect to get credit for it. It is rude to leave a project for everyone else to do and hope you'll get a good grade from it.
I agree with you, I'm going to edit his head off the picture too.
It's fine if you don't want to give him credit if he didn't contribute at all, but do you have any other pictures that you can use that you don't have to edit in such a way? Using the picture with him in it, even if his head is not shown, may raise some questions about his participation.