Garrett, a turbocharger manufacturer, says that an oil and water cooled turbo is good because water moves heat out of the turbine center housing due to convection even if it isn't being agitated by a water pump, helping it cool down a little better where it otherwise wouldn't.
Being a modern car and running IIRC 16.5 psi of boost, it should have an electric water/oil pump and fan setup that cools the turbo down below hazardous temperatures even if the car is turned off. I had VW and Audi vehicles with turbos that did exactly that: even when you turned it off and locked it, if it needed to, it would turn the fan on (and probably also a pump) and cool itself down for a few minutes. Someone can check and see whether their 11th Gen Civic does this.
The need to cool turbos down applies only if this sort of cooling/safety feature isn't present, like in much older cars.
I daily drive a 90s turbocharged car, and an accessory for my era of vehicle is a turbo timer: it "measures" how hard the car has been driven based on whatever variables it can monitor (coolant temp, oil temp, vehicle load, etc.) and idles the car for whatever duration it sees fit, even after you've turned it off and locked it.
I don't have one of those, so I usually give it a minute, depending on the temperature I can infer from the oil pressure and coolant temp. It's also important to let the engine warm up before you ask the turbo for boost, more so than waiting for it to cool down.
I usually skip the stationary cooldown and take advantage of airflow by driving calmly off of boost just before I get to my destination, which echoes the point you made in your post.