As someone not from the US, a "stick" sounds as precise a quantity as a "handful", a "dollop", a "pinch", a "dash", a "splash", or a "spoonful".
An obvious analogy for the lack of precision of "stick of butter" outside of US culture is my culture's "block of butter" - typically, a block of butter in my country is 500g. But not always.
So how do you know how much butter I intended you to use if I say "add half a block of butter" in my biscuit recipe?
How big is a block of butter where you live? Do they even sell it by the block? Or is it just sticks? Rough mental calculation, there's about 4 and nearly a half sticks to the block.
I guess there's a reason humans developed and use units of measurement.
Anecdote time! When I was young I tried to follow a recipe off the Internet that specified a stick of butter. So I diligently cut a long skinny bit of butter from my block of butter, a little confused as to what difference the shape made. The biscuits were rather awful.