It makes sense to do so in the same way that it’s useful to distinguish quantum mechanics from classical mechanics, even if they make the same predictions sometimes.
A proposition of any kind of mechanics is what can be true or false. The calculations are not what makes up the truth of a proposition, as you’ve pointed out.
For example, does this distinction affect the assessed truthfulness of a signal?
Does process affect the artfulness of a painting? “My five year old could draw that?”