Lambert is committed to all the press interviews etc after the game, so maybe whatever happened which may have caused Albrighton to leave on his own, occurred without his knowledge at the time. Presumably Culverhouse would have been in the dressing room and possibly Karsa too. When it all came to other peoples attention, maybe Lambert thought they had overstepped the mark (sorry) and agreed with the suspension.
The Mirror report says the ex-Arsenal coach will be the main man with Sid assisting him. He came with a good reputation I believe so let's hope he has a positive effect.