Agree with BA.
Our paddocks were undergrazed whan we moved here and we didn't had enough stock (or a topper) to keep it down. The grass was pretty rough but I found the ponies are VERY good at grazing it down IF you strip graze it hard, then harrow to break up the droppings.
Then harrow, harrow, harrow in the spring to lift all the dead stuff. We've got a spring tine harrow that has been worth its weight in gold.