Readings DC blog entry "On many" made me realize that every person is different there for each of us writes differently. And has different style and preference when it comes to writing. So I believe it’s a problem of Diction and it all depends on the writers and what diction they are looking for.
“...where we find many examples....
where we find a lot of examples....
where we find lots of examples.” (DC blog)
Each of them has their own level of diction many is formal, a lot is informal, and lots is friendly.