Most of the campgrounds I use, the pedestal is not shared with another campsite. With that said, I always do that and have for many years.
Although I have an outside plug on my RV, I find it will trip the circuit in my coach when my wife is using her hair blower with the curling iron on. Run a 25' power cord to the 110 on the pedestal, plug in your electric grill and your good to go.
What you are doing is totally acceptable.
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