I propose the following test for whether a given attribute can have a reputation aspect.
Were the entity in question to be located on a desert island with no social contact with others, would the value of the attribute in question be impacted?
If I was on a deserted island with no social interactions, it would make no sense to talk about my reputation for trustworthiness or dependability (both admittedly recently at all time lows) because there would be nobody else with whom my interactions could be assessed for trustworthiness. Likewise, a business wouldn't be able to develop a reputation for courteous customer service if it was stuck on the island and unable to service its customers.
On the other hand, my age or weight (although I do expect I'd lose some weight, all the Survivor contestants do, which would be nice) on that island would be the same as if I was at home - they are not social constructs. Consequently, I can't have a reputation for being either 44 years old or 165 lbs (ahem).