Work experience is most definitely not irrelevant. Many interviews are blind these days, so when they ask you why law/to introduce yourself, they will pick up that you are missing any activity post-grad. Equally, the gap on the application screening itself will be looked down upon. I'm sure there are many people who are hired with these gaps, but they are the exception, not the rule. If you aren't working (even a part time job at the pub), say you're going travelling instead, but if they think you're spending a year sitting at home sending off applications and messing around whilst others are sending off applications whilst still doing something beneficial/enriching, the former will lose out in 9/10 cases.