Just a note before my comment: my reference is the Netherlands, which is struggling with too much cattle and too little land.

Methane is a worse greenhous gas than CO2 though (28 times more) and just growing more grass, which gets eaten pretty much immediately again, does not necessarily compensate for it.

But methane is not the only problem with large amounts of cattle. The shit can actually become problematic in for the soil and water due to ammonia. This is a large problem in The Netherlands right now (and sadly we don’t have politicians in power willing to make actual changes here). Biodiversity and water quality are going down significantly and a very big contributor is cattle farming.