I moved your post to the SDK forum.
There is no way to export an EDL, via API.
My team has invested a lot of time in a tool that ingests edls.
I'm in the process of creating a fcpxml -> edl converter, but if there is a way to gain access to Premiere's export edl function via the api that would be preferable.
[Kept conversation going with Raphael.]
There is no way to export EDLs directly from PPro.