Would you consider pond fish pets?

My husband had a pet bass that was in a small pond. He would feed that bass lizards and small tree frogs by hand. The bass grew big and would often jump out of the pond to take the food offered right out of his hand.
So I think some fish can be considered a pet when they forget their natural instint and fearlessly approach us for food.
Other fish in the pond may just be there or might be considered pets by those who own the property.