PHImageManagerRequestLivePhoto is the result handler for :
int RequestLivePhoto (MonoTouch.Photos.PHAsset asset, MonoTouch.CoreGraphics.CGSize targetSize, MonoTouch.Photos.PHImageContentMode contentMode, MonoTouch.Photos.PHLivePhotoRequestOptions options, MonoTouch.Photos.PHImageManagerRequestLivePhoto resultHandler)
It's current name is confusing, as it makes it sound like it's something like a PHLivePhoto
Totally agree with you on this one, unfortunately this is a breaking change :( since it is not new in iOS10 (not as urgent as current xcode8/C8 release).
That said it is worth to keep it in mind, thanks for this great catch!