So if BA now owns all three bmi groups did Lufthansa also sell off??!! the smaller outfits pension schemes along with the main bmi scheme? ie they are all in the PPS orbit even though the company that owns them now BA is not insolvant. A real buggers muddle.
The majority of the members of the Baby and Regional pension schemes will be in Defined Contribution (DC)schemes whereas most(?) bmi employees will have been in the company Defined Benefit scheme. The only issue with the former is whether the employer has kept their contribution up to date; they certainly should have done. The DC schemes do not fall under the remit of the PPF as no promises have been made other than the size of the employer's contribution.
Some members of the Baby scheme who have previous employment with bmi may have a preserved interest in the bmi scheme. Ex-Business Air employees still with Regional may be a bit more complicated, I do not know whether Business Air ever ran a DB scheme, although I believe that they probably moved to a DC scheme in later years.