I would say that his remarks seriously impacts the discussions on how the appeals process continues or is settled.
It wouldn't have any effect on either the appeals process or whether the case is settled. If civil procedure in that state is even remotely similar to what I'm familiar with, a Motion for New Trial won't be ruled upon (denied by operation of law) or would be denied anyway. As far as settlement goes, the other sides' attorney(s) isn't going to care what he said about the jurors.
The only place it really has an impact is this guy's continued appearance in that court -- on that or other cases.