Correct. Your vehicle is the only place that shows the current price.
Not all locations around the US get on on off-peak prices. Occasionally when it's very hot and local power demand is high, they may implement cheaper prices during selected time ranges to get you to charge before or after peak power demand times. I see this in the Dallas area a lot since their power grid is weak. I've never seen this in Oklahoma. Recent example, $0.32 in OK and a $0.21 price incentive rate in Grapevine, TX when it was 105° recently if you charged before noon and after 8pm.