Salmon & Fish mobs are not affected by Looting

The bug

Looting III does not affect Salmon and Fish mobs. This is inconsistent with the standard behaviour of Looting with the standard drop table not being multiplied. In particular, a chicken is affected by looting, which like fish drops a single item representing itself (raw chicken) when slain using a weapon not enchanted with looting, yet drops multiple when using a weapon enchanted with looting. Using an already established mob that has drop mechanics near identical to fish with the exception of a second drop, fish should behave the same, but do not.

To reproduce

1. Locate, or for the purposes of testing, produce a salmon or cod alongside a chicken as a control variable.
2. Using a sword enchanted with Looting I, II, or III, slay both creatures and retrieve their drops.
3. Note the differences in drops over multiple tests. One fish will produce one fish consistently, but one chicken may produce from 1-4 whole raw chickens (alongside feathers, which are irrelevant for testing purposes).

Note: The attached image is a test done using a looting 3 diamond sword against four salmon and four chickens.