Binding cracks typically look like this... where the fret is putting a bit of pressure on the binding. Not sure what yours is, but I think I'd go by "Hows the guitar sound and play".... If it sounds awesome and plays well.... I don't think I'd care about the scuff there.. give it 10 minutes and you'll have added your own buckle rash to the back anyway...... but thats my .02.
Mine is 10 years old and it has no marks on it. la
The binding on one of my Les Paul's has a dozen cracks in a number of places around the body and a few on the neck binding, it freaked me out a bit, but many vintage guitars have these too, and, and over time it's just become a feature of the guitars character.
It maybe the same expansion and contraction due to temperature change that causes finish checking, but what I see in your pic is no cause for concern IMHO.
Are you sure it's the binding that is cracked, and not the clear coat lacquer which is sprayed over the binding? Other than the common low humidty fret end cracks I can say I've rarely found cracked binding. When I have it's been on multibound guitars like Customs and always on decades old examples.