It's not a breed thing, rather a dog "thang"

LOL
My dogs are grazers as well, not just ripping the grass, but they eat it!!
We've never had any problems because of it.
With my guys, they need their greens. With the switch to raw I haven't been able to get any veggies in there yet, but they were eating grass long before than anyways.
Sometimes I think they do it after a long run and the grass is nice and cool and wet. *shrugs*