I stand to be corrected, but my understanding is that the MPL is not airline specific. Once you have the licence you can change type or airline, subject to type rating, OPC and of course finding an operator who will employ you.
The last of those should become easier as more airline managers/HR departments begin to understand what the licence is, a CPL/IR with ATPL theoretical knowledge but no single crew priveleges.
In the last four years I have worked at three airlines who employed ex sterling f/os who had just completed their MPL and line training when the company went bust.