Probably a bit late on this topic but if anyone else is wondering...
I have the same drill / driver in Systainer and dont really plan on putting them back in there.. The stainer was useless and taking up precious workshop space.
After reading below that it was double sided tape that held them in, I thought to try removing like a 3M hook, by pulling vertically rather than pulling in the direction it is designed to hold.
I removed it without damage by sitting it up vertically (lid open like a fridge) then using an f-clamp from a section where I could get good deep grip on the insert, clamping to the bench to slowly pull it down.
Once the clamp was nice and tight I used my hands to apply additional pressure where the clamp wasn't, wiggle around a little and SNAP.. the tape came off.. the insert wiggled out, no damage to anything.. It was just two small strips of double sided tape. The insert in one single piece and remanded that way.
Hope that helps someone else
