No, I use it like comfrey. I pick the leaves and put them where I want to help amend the soil. Your compost pile will work great.
I observe mullein in nature, and it grows in some rough places! Rocks/clay/sand/dry- nothing seems to faze it. And it makes quite a bit of biomass throughout its’ short lifetime. I believe nature uses the tools at hand to create ecological succession, slowly transforming areas to support more life, and more biodiversity. The mesa behind my house is mostly grasses, cacti, and brush. But as mullein continues to slowly create and improve soil each year, new plants/fungi/animals will find niches they can fill, further speeding the process. And perhaps in a hundred years or so, trees will be the predominating feature of the landscape.
That’s a long time to wait. But that’s where our species comes in. The more we observe and understand how nature builds ecological succession, the more we can mimic it, and condense the process to not only happen within our lifetime, but within a few seasons. That way, we can all sit back and watch our system work for us when we’re 87.