If your future employer, hslakaal asks you what the AKC is for and you give the answer 'It was nothing really, I just wanted the letters' Then expect to leave to the interview soon. Conversely, if you want to give a convincing spiel, why not just put some effort into the AKC?
I was one of those who did it in the 80s when it was - in formal terms - less rigorous than it is now. But I am proud of it and found it useful because it gave my education some breadth; and if you're getting a course for free, I see no merit in not putting some application to it. There aren't many things for free at uni these days.
I joked about all sorts of things as an undergraduate that I took seriously then, and take more seriously now. No-one wants to look earnest. But it was useful, alright, and I'm not alone in thinking that amongst my contemporaries.
Incidentally, I strongly recommend the AKC for lawyers. When it comes to jurisprudence, to have some idea of how moral theories are put together is essential. Some people go into a flat spin with JP - the AKC is a very useful way of giving you a soft landing. It also proved useful when I recently did a Masters in medical ethics and law at King's.