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but driving into the wind is like a head on crash
driving with the wind is more like bumping bumpers
the wind force is much reduced traveling with the wind or crossways to the wind
Not even remotely in terms of what air moves through the grill. The air is compressed in front of the radiator because of the obstruction and you end up with a bit of a bubble like you get in the empty bed with the tailgate up, although not nearly as pronounced. Your under hood 'wind speeds' and drag created by the radiator, etc are not radically altered by wind direction or speed. Your overall energy consumption based on total vehicle drag, yes, but that's irrelevant to the topic.
Active shutters closed are like a closed tail gate, making a slippery bubble for more air to slide off of. Open radiator is like a sail with holes in it, much less bubble formed, much more drag. Same reason those 'fuel saving' net tailgates don't save fuel.