Fumes from Self-Cleaning Ovens

I already knew that heated Teflon was hazardous to birds, but self-cleaning ovens? Turns out that Petco and other pet resources are warning people to not use self-cleaning cycle when birds are in the house.

Here's what I wonder: if Teflon and self-cleaning ovens produce fumes that kill birds, aren't they a teensy bit harmful to people too? And what about other pets?

Petco caution about self-cleaning ovens and pet birds