I have just come across an article that is in Danish (I read it under google translate) stating that BMI and BMI Regional are no longer working with SAS. I am adding this contribution purely because I thought it was relevant to the current debate.
SAS cuts ties with bmi
11-05-2012
SAS recently chose to terminate the commercial agreement with British Airways. Now is the turn of British Midland (bmi), where they åregamle codeshare agreements will be executed as a result of Lufthansa's sales of the company..... From Denmark, this means that no longer can be booked tickets on SK-route number on bmi Regionals routes from Copenhagen to Edinburgh and Glasgow
SOURCE
Nyt om rejser og luftfart
The story is located under the photo of the BMI A330.