Actually it's the methane they belch that is in question; not the CO2; but methane is a natural product of fermentation of vegetable matter by decomposition and by digestion in animals. Including us. Just don't tell the vegans...
I understand methane does eventually break down naturally, but I am not sure to what. Carbon-dioxide and water, presumably.
Didn't the anti-cattle thing come from a UN paper based on a survey of a single region in America where cattle have to be given a lot of supplementary food because normal grass does not grow well there?
I recall reading something to this effect - I may have the details wrong but the principle was lazy research, followed by platform-jumping by campaigners and politicians of whom most of both type barely know energy from power..
As you probably know, there is now in agriculture a principle called "regenerative farming" which is even more "enviromentally friendly", but is really only a modern form of what farmers had been doing for a long time before the days of massive expansions of industrial-scale agriculture .
Whilst by no means a "climate change denier" I do want decent decisions based on real knowledge. After all, climate change was first raised over 100 years ago!