"Sure", you say, "but they don't need to know it by heart. The carpenter can always look that up if they really need it."
This is true. You are 100% correct.
But think of this:
Said conversion is pretty common in Carpentry, so each time our Carpenter forgets, they're going to end up looking it up again really quickly.
You would think that after having looked it up umpteen times, the Carpenter would effectively end up memorizing the conversion by accident. Right?
So while I suppose it's not strictly necessary, it would definitely be a bit funny to encounter a Professional Carpenter who doesn't have centimeters<->meters memorized.