Really, what do any of them have against their counterparts except for Robin?
Cyborg and Beast Boy would probably think their Go! counterparts were funny. As the image shows the Starfires would just find each other the adorable.
Maybe Raven would get upset at her representation, but I imagine she'd just pull a 'whatever' and go back to her tea. If anything Go! Raven who probable think 03 Raven was super cool.
Even Robin would probably just ignore Go! Robin.
And yes, I'm aware this is just a gag playing off the negative response of the shows detractors and that my post is autistic. I just can't help wondering why they'd be fighting.