The damage is largely already done because the non-native bees are now a feral invasive species that have out competed natives, and the invasive honey bees haven't co-evolved to pollinate native plantlife
My understanding is that there are in fact very few feral honey bee colonies in the US ("if you see a honey bee in your yard, chances are someone owns it") and at some points over the last 20 years feral honey bee colonies had essentially been eradicated by the Varroa mite.
