ubiquitin:
1)shira DOES appear in nach as a word.
Touche.
2) Although the Torah is indeed referred to as shira, song still does not have any inherent importance. Life and peace do.
3) None of those names, as far as I know, are common in other societies. So it would be hard to say that they stem from outside influences. But for all I know, maybe R’ Chaim would say some of those names (especially the animal ones) would indeed be problematic.
SL:
Rav Chaim does not say that to every Shira who sees him
Are you sure about that?
I was once by R’ Chaim and somebody gave him petek with a bunch of names for a refuah shelaima, and one of the names (Shulamis, it so happens) was misspelled. R’ Chaim stopped by that name and exclaimed “Mah zeh? Zeh lo shaim!” So the person said oh yeah, its supposed to Shulamis.
Anyway, my point is that I do think R’ Chaim would tell anybody who he knows has the name Shira to change it. But he doesn’t see women at all, so he only has exposure to so many Shiras.