You can buy an original Tefal pan for like $15-20, if it lasts a year that's ok with me. I wouldn't trust the no-brand $5 stuff either, but I would think that Tefal pans should be ok?
That stuff is just more toxicity. The non stick vaporizes at high temperatures (the Teflon website will warn against small birds in the kitchen... And that's the Teflon website!!!), and all those knicks and scratched are material coming off and into your food.
There's no need for toxic cookware. Get high quality cast iron and you can give it to your future generations like my grandmother did for me. And if that flakes into your food, it's just iron which your body needs!
Having a bird in the kitchen is just a bad idea (unless you are going to eat it). If you overheat oil, that becomes toxic as well and will kill a small bird the same as overheating teflon.
You might have a house with a kitchen next to the living room and no door in between, and if you've got everything closed up in winter you can kill a bird in a nearby room with Teflon toxicity. Overheating oil will not kill a small bird, and even some quick smoke inhalation won't necessarily kill a bird.
> Abstract: Japanese quail and parakeets were exposed to the pyrolysis products of: (1) commercial fry pans coated with Teflon® finish, (2) plastic fry pan handles, (3) corn oil, and (4) butter. Other materials used in the test were commercial aluminum fry pans and cast iron fry pans. A four-hour Approximate Lethal Temperature (ALT) was determined for each test material for each specie. All products tested were lethal to Japanese quail with ALT's ranging from 260° C for butter in cast iron to 370 °C for a plastic handle in a glass container. The ALT for a fry pan coated with Teflon® finish was 330°C. All products were also lethal to parakeets with ALT's of 260°C for both the pan coated with Teflon® finish plus butter and the cast iron pan plus butter. The ALT for a fry pan coated with Teflon® finish was 280°C.