The numerator might so up but so will the denominator, so it effectively cancels each other out. More to the point, I feel like this argument is over relative vs absolute. It might be noticeable" to a single person, but given that we're talking about the healthcare system as a whole, it's fair to say that it's not "noticeable".
>1. (idiomatic) To change a situation to a noticeable degree
Emphasis mine.