if you pull out enough thatch to actually do anything, there won't be any grass left. Nobody rips out enough to actually affect anything, no matter how full you stuff that trailer! (and I've stuffed a few). Customers freak if you actually take 1/2 of what needs to come out.
Punch lots of holes in it and oxygen, water, earthworms, and bioorganisms will do the job for you.(over a couple of years)