If the 'big draw' is starting pretty much along the same line as your regular shots it's much more likely a path issue.
It's possible that you may be optimizing your spin-loft with a shallower AoA on the big draws.
Beyond that… let's just stick to the topic, please.
I don't think fast greens are detrimental to golf. That said, I think that any maintenance practice that unnecessarily raises costs, or pushes a course beyond what is sensible, is bad for golf. But "fast greens" alone don't necessarily qualify.