What could we possibly need with so much diamond? The cost of acquiring any of it would be greater than the value of it, you'd either not get enough, and if you got all of it, it's still worthless because it is a mass greater than that of the Earth that can't be sold or stored or anything. I know we pretend to exchange gold everyday while leaving it where it is, but no one has attempted to trade with diamond stars hundreds of lightyears away, for good reason.
Also, if you did get any of it, the value of diamond would plummet like nothing in history, it would be worth less than dirt (mainly because we'd have significantly more diamond than dirt, but also because dirt is actually useful). I know the diamond industry would quash any industrious expedition to the diamond planet, if none of the other reasons were somehow good enough.
The only value in diamond stars and planets is scientific illumination, which is worth more than diamonds anyway.
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