Why are people extrapolating? In this thread a number of comments were first or second hand accounts of R’ Chaim objecting to the name Shira. Not any other name. I think it is reasonable to conclude that he objects to this name only, and not try to extend this to other names that he has not objected to based on a (even a) logical connection that he has not ever said (to the best of anyone’s knowledge).
Unless someone has heard R’ Chaim object to other names- anyone?