From my viewpoint this stopped being the case in the UK around 20 years ago, not coincidentally around the exact same time that the numbers of graduates started rising considerably year on year. It's a simple case of supply and demand. If you went to a top uni, have contacts or are genuinely oustanding then great, you probably have the luxury of being able to walk into a decent job from nearly any degree, but if not you are competing with tens of thousands of other graduates for the remaining decent jobs. So how do you make yourself stand out? I'd suggest that a CV that shows no evidence of interest in the field before graduation is not a terribly good differentiator. Far better to have studied something related or at least have gained some work experience in the area rather than look like every other grad that's graduated and thought oh shit, must find a job, any job..