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maybe the author meant "weird" like... Moon Unit.
The researcher shares a bit of the process and procedure, in his Washington Post article:
To test this, we used a national database to obtain the proportion of children who were the same sex and born in the same year as the children in the study, and we found that overvaluing parents were indeed more likely to give their child an uncommon first name.
Not an especially weird or unusual name, but uncommon in that birth year.