Rightly or wrongly, right now there are approximately sod all jobs out there. If you get the opportunity to get yourself onto an airline tagged course right now and if flying is what you want to do, then there is no better way of getting into the industry (IMHO). MPL/fATPL matters not a flaming jot.
Whether MPL has safety concerns or not is a totally different question - but one you could address relatively easily by going and doing some PPL flying alongside the day job to gain those skills - indeed OAA may even offer/allow the opportunity to add the PPL skills test to the single engine flying you will do...
My view = Go for the interview, if you don't get offered it, it's no longer a problem, if you do get offered a place on the scheme, you can make a decision - but if it was me I would seriously consider there are plenty out there without a licence and no offer who would think you daft to turn your nose up. Me included.