https://en.wikipedia.org/wiki/Methane_emissions

fossil fuels contribute 33% farm animals contribute 30%

Not astronomically; marginally. Anyone who's been around herbivore farm animals will tell you they fart. A lot.

Then again, farm plants are a further 18%.

It isn't the "cow farts" that produce most methane, but rather the anaerobic processing of cow dung emanating from feed lots, dairy operations, etc.

Grass-fed beef cattle whose dung is "recycled" in a more natural way in the fields produce the same emissions as would wild ruminants such as antelope, bison, etc.

The biodiversity problem in the above refers mostly to new land clearances intended for farming, including for feedstock. This is minor in N. America and Europe, mostly as the clearances were done decades or over a century ago.

I would argue animal emissions do not matter at all, methane survives about a decade in the atmosphere. Eventually breaking down to co2, co2 that was already in the atmosphere to begin with. Fossil fuel emissions are the ones that matter.

You would be wrong, they are about equal in size, both accounting for about a third of the anthropogenic emissions.

It's mainly burps. They chew their cud.

Cows produce around 50 kg CH4 per head per year. There's around 1.5 billion cattle. That's around 75 teragrams (million metric tons).

Humans release about 410 teragrams altogether. About 40 percent is agricultural. And another 40 percent is from fossils, namely natural gas.

The top 100 natural gas leaks release over 20 teragrams of methane a year. That's just the leaks. That's 400,000,000 cattle worth of methane just pissed into the wind.

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