For me it's the score, so in your example the 5.6 is better than the 5.5. This is because I'm looking to see how good an image I have produced in absolute terms - how good other people do is out of my control and is only of passing interest.
The same is true with my archery - I'm happy if I have shot well, being beaten by people better than me is perfectly acceptable. I have felt embarassed to have shot relatively poorly and still beaten others (it has been a while since this has happened it must be said).
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