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I see where you are coming from and I agree that the big advantage of the metric system is not specifically conversion or anything in particular, but in general that everything fits together due to the coherent units and ratio.
It's not literally an active daily task, but the effortless conversion benefits your mental image of measurements in general and you don't even have to think about the conversion in the first place. I do not think you are unique in this though. When you live in a place that uses the imperial system (sorry for assuming. Correct me, if I'm wrong), your personal benefit of using the metric system is limited in your daily life.
Isn't what you call coherent units and ratio just another word for conversions?
How do you differentiate them then?