Unfortunately it's challenging to say for certain, what with Crowley withholding the extent of his true power, to whether he is a Michaela in title only, or if he really is the Michaela.
The light novels may provide some helpful observable clues!
Its talked about in the story of vampire Mikaela light novels. the first two novels in this series are mostly about Crowley
Also is likely why Ferid keeps Crowley involved with his plots!
What do you think?