If you are thinking of charge scheduling, the car does that. Or should… if you buy an EV from a good EV company, not an old crusty legacy automaker.
But yeah I have a hard time believing it's gonna be a big enough saving to offset the cost of the charger.
Unless you buy an electric car from one of the companies that is actively promoting gas cars and trying to make their own electric cars super crappy in hopes the entire concept will fail. Meaning, any gas car maker.
Yes, scheduling saves money. But even paying high electric rates during peak hours can still be way cheaper than gas, depending on what exact rates we're talking about, which varies by location.
But the plug has nothing to do with scheduling if you just use the car's own scheduling or plug/unplug yourself.