Agreed. Some have had it work, but this is not the norm. Generally, linear fish are more prone to being eaten, or the attempt will be made, than disk-shaped fish. Remember that the angelfish should grow to about 6 inches in body length with an 8+ inch vertical fin span.
Angelfish are not likely to feed on neons in the wild; their natural food is primarily insect larvae, crustaceans and small invertebrates. But angelfish are naturally predatory, though not to fish necessarily, but as so often happens, when we confine fish to the very small enclosed space of an aquarium their behaviours can change somewhat, as here.
Tankmates for angelfish also should not be any species even slightly prone to fin nip. Many tetra will.
Byron.