My comment was written in honest ignorance in hope of an answer and not to be combative, so please don't be irritated with me. I don't know if it's due to my location, but I truly see no finches being sold to be companions in the same way many parrots are. The one bird store in the area doesn't do anything to train or tame the finches it sells. Perhaps their smaller size (and comparably smaller selling price) deter people from trying to hand raise them. Did you raise this one, or are tame finches commonly sold in stores where you are?
Mine was hand raised. No breeders will hand raise baby finches coz it's very difficult (has a high dead rate). Still, the general thought that finches doesn't need to be handled/ can't be tamed, etc is wrong. Non hand raised parrots will reject, bite or freak out too when they see humans. Hand raised birds whether it's parrot or not, flight or flightless species, all birds can be tamed if they are hand raised and kept single. And all tricks that are used to tame wild parrots can be used for non parrots too, but no one is likely to try it because of the generalization idea that non parrots can't be tamed. Thus most non parrot - flight birds in captivity (finches, canaries, bulbul, mynah, etc) are kept in a very small cage without toys forever till they die. If you search internet there are others that have tamed birds like quails, chickens, sparrow, etc as pets.