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Qiaochu_Yuan comments on Why Are Individual IQ Differences OK? - Less Wrong
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I think an obvious difference between the last one and the first two is that the last one includes a number. There is no uncertainty when comparing numbers, no wriggle room for subjectivity. A real number is either smaller, bigger, or equal to another real number. Period. This rigidity does not mesh well with the flexibility that comfortable social interaction requires. I don't think this is the only reason why the third is so inappropriate, but it definitely contributes.
There's plenty of uncertainty when comparing numbers when there's uncertainty in how the numbers were generated. IQ tests aren't completely uniform across space and time. Worst case, 170 IQ Joe might have taken some random online test.
I think the simplest explanation is the Bayesian one: most people who introduce themselves using their IQ are socially inept, so introducing yourself using your IQ is Bayesian evidence of social ineptitude and other unpleasant things.