They try. We have Indians working on our current project (a political decision made by someone much higher than me.) They tried to sell themselves to high level management as project management and scheduling geniuses who could take over what I was doing and make it better. However, just because they passed the PMP doesn't mean they have the dynamics and the ability to deal with people to be great project managers.
“However, just because they passed the PMP doesn’t mean they have the dynamics and the ability to deal with people to be great project managers.”
For now, but as more of the work is done elsewhere it becomes less necessary for local project managers.