Similarly, it would be more informative to say that Hymenoptera developed a particular pattern of chromosomal inheritance once, and that led to 11 different types of eusocialism.

According to Wikipedia, all of the social hymenopterans are in superfamily Aculea, a monophyletic clade, which seems to lend credence to the "developed only once" hypothesis. (There are non-social aculean insects, but it's possible they used to be social and split off from social species.)