Yes, I do use The Ballistol "Animal" version, but the normal "Universal" version is suitable for use on animals too:Ballistol ANIMAL oil is not sold in the U.S.
Sorry..... The link you provided does go to a Ballistol Product but it is a lubricating product used for firearms, wood, leather, hardware knives - very likely not the same product you are using on your bird's legs.
https://ballistol.com/uses/
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https://ballistol.de/shop/en/produc...-purpose-oil/94/ballistol-universal-oil?c=188