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DoF and look will be the same. But not everything, IQ will favour larger formats even at equivalent f-stop and equivalent ISO, even high density sensors.
It’s also very misleading because small formats do not have equivalent f-stop lenses for most lenses, and the FF will have to stop down on the lens to get equivalent f-stop. And they also do not have equivalent ISO as they don’t go down to 25, and in a bright setting like in the OP pic lowest ISO can be used on the FF.