Literally everything is neutral in the very long run. The point is that it's a massive input to the current system which is too high right now.
The biomass of livestock is 14x larger than all other mammal, combined, apart from humans[1]. This number is growing. So, yes, it is a massive input to the system even if it's neutral in the long run.
https://unfccc.int/process/transparency-and-reporting/greenh...
If you are.asking.about econmics, who knows, but the pollution from cows is methane, so unless someone tells me theres some weird physics, what matters is the ability to insulate and the lifetimd of that insulation.
The problem with climate denialism is "honest" attempts at evaluating claims tries to "both sides" the logic and the available data, but there isn't another side to climate change. And trying to incorporate denialism makes your rational decisions wrong. Climate change is a singularity that has been passed. We're not going back to the way the climate was 100 years ago.
So, the real question is, how does 100$ per cow remediate the damage of trillions of dollars over the next century. I've got no idea, but it's definitely not nothing.