@santiluman, yep I did.
I think the core point for your essay or motivation letter is not supposed to be focused on anything artistically but business style. It also shows your potential coming with a sociology background. So why not drive yourself a little bit further? Well, I love arts very much, and in fact we have Oxford graduates with film aesthetics education or similar. I just find them even more business focused.
I personally think you should not worry too much, although I did also some when I applied then. You will have plenty of time researching your inner peace at organisation behaviour class (i.e., we did personality/character test) or finding out conjoint career path in arts and business. Also, have you considered Bocconi MS in economics and management in arts, media? This could be more specialized while LBS one is more general and best suitable for anyone interested to do arts fund.
LBS loves international experience, particularly China experience (i'm paragraphing...lol). Do let me know where you end up with ultimately!
cheers