Yes, many things don't add up, and of course B can say all he wants about their relationship to the media, but may have thought it would be better coming from the therapist.These are exactly my thoughts for the matter.
B gave her permission to speak about his relationship with C. This off course is not legal. No one else other than C can give such a permission. IMO he may have wanted so, because here in Greece people are accusing him directly on social media. The reason is that many things from the case, that people hear from the news, don't add up. He may have thought that the opinion of EM, the so though psychologist, for the matter may have changed people's mind about him and his relationship with C. However this backlashed quickly cause they found out that she was a fraud. And two days later a pilot B (his instructor) comes forward about a "carbon" robbery.
Edit: IMO off course
So despite what the woman who claims to be a therapist has said, we really know nothing at all about their relationship or how in love they were.
However, we are not allowed to accuse him here because he's considered a victim, unless police name him as a suspect.