I completely understand your concern and anger over the exterminator's behaviour, but I have to point to another thing: Brown anole (Anolis sagrei) is not native to US. It is a Cuban intruder, the true biodiversity pest that pushes the (only) native green anole (Anolis carolinensis) to extinction. In fact, not mindless spraying of insecticides but precisely targeted measures (though likely very difficult to apply) should be taken to try to eliminate A. sagrei and safe the original US herpetofauna.