My big boy Saber runs from Galen too. But he will run around the living room a bit. Like he is playing with him. And Willow is his girlfriend.
He just loves her. lol even snipped still loves on her. All four though can get away from him so there is not problem. As long as they have an escape there should not be a problem. Also if Lucy adopted him like a baby she might protect him like one too.