It won’t be impacted because you applied to college A ED, but it may be impacted because you didn’t apply ED to College B/C, if they had that option.
You’ll have to have the RD applications ready to go, i.e. don’t try to jam in doing all RD applications over the Christmas break. But there is no advantage to submitting before the deadline. And unless the application is free, you may be spending money unnecessarily.