I don’t know that that’s true, there can be other cultural reasons.
In Hindu-based cultures you wouldn’t eat cow, as in largely Muslim ones you wouldn’t eat pork.
Eating horse is common in a lot of countries despite falling into your “useful enough not to kill” category. Sheep are useful for wool production but people still eat lamb.
Rat is easy to domesticate and they are frankly useless at drawing a plough but eating them is still taboo in many places. A couple of billion people eat insects daily, but there are still many other countries where it is very rare to eat them at all despite the ease of farming.
I’d like to add that domesticated animals that are taboo to eat typically had a use beyond just eating them.
Dogs guard your property, cats kill pests, horses do work and transportation. You’d only eat those if you were desperate.
Chickens, pigs, and cows? Not so much. The only one of those I could think with an alternate use would be a truffle pig, which wouldn’t be eaten.
I don’t know that that’s true, there can be other cultural reasons.
In Hindu-based cultures you wouldn’t eat cow, as in largely Muslim ones you wouldn’t eat pork.
Eating horse is common in a lot of countries despite falling into your “useful enough not to kill” category. Sheep are useful for wool production but people still eat lamb.
Rat is easy to domesticate and they are frankly useless at drawing a plough but eating them is still taboo in many places. A couple of billion people eat insects daily, but there are still many other countries where it is very rare to eat them at all despite the ease of farming.