I will go with door #1. I base this on living in sandy South Carolina. My pastures are coastal bermuda and have a matted web of stolons between the grass blades and the sandy soil, so I seldom see a horse pulling up roots, and that is typically attached to an occasional weed rather than the bermuda.
But I feed hay on rubber mats next to the barn, and a lot of fine sand blows over the mats so when the horses are lipping up the hay dust and fine pieces they could get sand along with it. I imagine it may be the same with hay nets hung over mats if your mats collect sand between feedings like mine.
So, I use a leaf blower to remove the sand from the mats each time before I put out their flakes of hay.