From what I understand the transmission adaptation has two aspects. Adaptations for component wear etc. are stored and are applied continuously (unless cleared by OBD software - INPA etc.) and driver adaptations are transient and are cleared each time you shutdown the car.
Someone who knows more about will likely jump in soon and either confirm this or remind be I'm full of....
Pretty sure I read this on here somewhere though. If true, it seem the difference you perceive between the two vehicles is not likely to be caused by trans. adaptations.