Who's to say that there wasn't more grazing (by area) back then?
> Further, grazing makes fields more robust if done property.
I'm not a farmer, but I know that this depends a lot on what is doing the grazing. Sheep for example apparently graze the grass down really far, and prevent the growth of bushes and tree saplings that are otherwise important for balancing the ecosystem.
In the US in the 1800s, there was outright armed conflict between sheep and cattle ranchers over this issue: https://en.m.wikipedia.org/wiki/Sheep_Wars
And as far as I know, England and Scotland lack trees specifically because overgrazing prevented forests from regenerating after being cut for timber: https://youtu.be/nAGHUkby2Is