What exactly is wrong with that statement, though? I personally do give fucks about certain kinds of animals, but I recognize that my choices as to what animals to care about is entirely subjective and is a result of my upbringing. I have no problem with a person who draws the line at "entirely no fucks given about any animal" (though that seems kinda sad to me).
Which... is also different from caring or not caring about malicious cruelty. And I think you could make a further distinction between being a proponent of cruelty (as in "I enjoy torturing animals in my backyard") and being indifferent to it (as in "I personally think it's gross to torture animals, but don't feel it's my or the law's place to force other people not to do it").
(Before I get labeled a monster, I personally think malicious animal cruelty is likely a sign of mental illness and am fine with legislating it away. Regarding animals used as food, I think ultimately we're finding that healthy, sustainable food production often aligns pretty well with increased animal welfare, but I consider that a bonus, not a hard necessity.)
I totally get that there's a difference between the scenario you're describing and factory farms. In fact, I've posited before that those animals would never have any life if there wasn't a demand to eat them at some point.
But the statement in question reads as "I don't give a fuck what happens to any animal". My question about pets wasn't meant to be tricky, it was trying to ascertain if the statement was an absolute or a general lack of care of where his food comes from.