> Do you agree with this,
No. Rejecting them all.
* Farm animals are not predators
The dog that herds your sheep is a predator.
The cat(s) in your barn are predators.
* Farm animals have economic value to their owner
Not always. Some of your cats are pretty much useless, but your wife likes them. Your wife would be okay without the useless cats, so hey.
* The habitat of farm animals can be re-created with little or no effort
Doubt it. "Feed" gets trucked in because it can't be grown here where there are too many animals and too little land -- the animals would trample anything that tried to grow here. That's a lot of effort. Good thing meat & dairy prices are high enough to support this effort. Also, the natural environment of these animals does not include a sewage lagoon, but your farm does. Ewwww.
* Farm animals are of moderate size
Nah. You're keeping some pretty big cows there. Your chickens, while pretty big for chickens, ain't nothing compared to your cows.
* The diet of farm animals is generally vegetarian
Remember your dogs and cats, both predators. Your pigs are as omnivorous as you let them be.
and can you make any additions ?
Yeah. The farm animals live on a farm. That's not necessarily a good distinction, because the skunk that lives under your house isn't a farm animal even though it lives on a farm.
Or maybe the farm animals were put there deliberately. No, that doesn't work either, because one of your useful cats came to you as a stray.