Everyone plays how they play, but it’s easy to fence off the coop so those animals can get grass without interfering with the pigs. Grass won’t cross fences or paths, so you can control it.
And this year I have a bare area the pigs have to go through to reach grass and am getting plenty of truffles there with no fuss. I might be missing one in the grass occasionally, but no big deal.
Animals produce better when they eat grass, and I greatly prefer the look of grass and like scything, so it’s worth it to me.