P-T! hello mate, how the hell are you? more to the point, what are you doing up in sweaty land? Thought you MCR based?
On whether or not OAA or FTE have the approval to run MPL courses, I would rather think that you could fairly safely say that neither org, for all their good and bad points would be so bloody stupid as to advertise it - and FlyBE would certainly not be stupid enough to participate in it - if it were not approved. It may be that this approval is agreed but has not made it's way through fully, but I would be amazed at the brashness of any of the three orgs if it weren't agreed.
That said, a simple call to the CAA will cost you pence, so for the peace of mind it would give, perhaps not a bad idea at all!