The problem here is your mindset. As an LSE Clementi grad, you're ungrateful about getting a perm job in public sector when a lot of your peers are struggling to be gainfully employed. Also the reason why you're getting rejected from the private sector isn't just because of your toilet paper degree, but also because your public sector experience is irrelevant. If you wanna hop over to the private sector, don't be choosy. The longer you stay in public service, the more unemployable you will be.