Do you have a reference for this?

edit: I know for a fact that these birds smelled a lot of food cooking and lived. Teflon killed them in the next room.

edit2: I should really bow out of this discussion. The fact that Teflon.com thinks that Teflon is a special worry if you have birds is enough for me. Judging by the content of their page on the subject, I'm going to assume that they decided that comparisons to burning mystery oils were spurious.

Just a cursory google for Teflon killing birds yields numerous results including this one … from teflon.com - https://www.teflon.com/en/consumers/teflon-coatings-cookware...

When the product itself is actually publicly fessing up to being acutely toxic in some way, it’s a pretty safe bet it is.

There’s no reason to doubt the account here of the birds dying and this being the likely cause.