None of these sources are saying non-stick pans are toxic on normal cooking temperature. Actually, one of them says:
Most of these cases have been due to overheated frying pans within the household. At temperatures above 280 °C, PTFE-coated surfaces begin to emit degradation products in the form of particulates and gas.5,9 Subsequent inhalation of these by-products by birds can result in various clinical signs, including open-beak breathing, chirping, incoordination, lateral recumbency, convulsions, and death.
So I assume it's still ok to use at normal cooking temperatures.
Most of these cases have been due to overheated frying pans within the household. At temperatures above 280 °C, PTFE-coated surfaces begin to emit degradation products in the form of particulates and gas.5,9 Subsequent inhalation of these by-products by birds can result in various clinical signs, including open-beak breathing, chirping, incoordination, lateral recumbency, convulsions, and death.
So I assume it's still ok to use at normal cooking temperatures.