A distinction without a difference. The only way we can interact with the world is via senses, via instruments, via measurement. We can rehash solipsism, but seeing as how that is an immediate dead end we all agree there is a physical reality. If there is in fact a reality, then we are measuring something real.
>we are measuring something real.
I think it matters. No the planets are not doing circles around the sun. Circles don't actually exist, they are doing elipses.
Also 'real' has quite a few meanings. If I ask the question 'Are you closer to a keyboard or the gym?' does that question exist?
This kind of stuff does end up mattering. It becomes much more noticeable in psychology (and biology). If you read Freud, Adler, or Jung, you will say 'Oh extrovert! I've seen that before!' But then you realize its vague and almost always true. Its like a horoscope.
So if we think there is a truth to reality, we look for perfect relations. If we think its impossible for humans to figure out, we look for best fits.