Goats will only eat dead stuff if they're starving. They eat some grasses(live), shrubbery, most anything with thorns. They'll clean up the floor to a height of 4-8 feet of most things live. They don't eat dead logs or dead standing trees. They'll eat the bark off the bottom of a living tree, killing it, before they eat dead stuff. They might snack on a few brown leaves if it gives them a nutrient they need and they'll crunch them down with their feet walking on them.
I've got three meat goats eating away at the edge of forest and they've made it easier for me to walk and drive around on my little tractor to take out the dead trees. Next step will be taking out some live trees to clear or thin out areas so the sun can get in and grasses/forbes etc can grow, some of which I'll have to seed. Some trees I'll cut down and some will be pushed out with a bulldozer. All will be used for firewood, our only source of heat.
If I didn't follow up on where the goats have been, they'd end up clearing that 4-8 feet height but there would still be a dense canopy from there up to 50 foot that would keep it so shaded that nothing would grow on the floor except for some oak sprouts and the trees would still produce tons of leaf litter(fire hazard).
The environmentalists have us growing trees on rows on tree farms but we can't thin out natural forests for wood products because "the process damages the land" and "releases precious nitrogen from the soil" and operating that big equipment "contributes to globull climate change".
What does thousands of acres burning and replacing people's houses and everything in them do?
Sounds like you understand forest management.