I believe NoahZuniga is perfectly aware of the intent and denouncing an abuse of (unneeded) notation.

What is "Big O" if not literally "order of"?

In physics "order of" means "approximately" using something like a taylor series, which typically start with a constant, then move to higher polynomial terms which add smaller and smaller corrections. Similar, but different, I think...

The O stands for "Ordnung", the German word for order. So it does literally mean that, except mathematicians think that the order of f(x)=1 is the same as the order of f(x)=10^6, because "clearly" f(x)=x gets way bigger than any constant function.