Hi! I applied and successfully received an offer for the Exeter equivalent of this programme - a LLB and a JD from the Chinese Uni of HK. The only difference is that Exeter asked me to interview for this course and KCL doesn't as far as I remember - also Exeter doesn't account for the LNAT, but I still took it and received a 34 MCQ score.
My PS had no elements which explicitly mentioned HK - but there was a strong international/comparative element to it. I mentioned something about my opinion and research on the International Court of Justice alongside the regular English law stuff. I think an interest in law as an academic rather than professional pathway would be a good focus and definitely benefitted me – you can enter the legal field from any degree, having compelling arguments for taking a law degree specifically gives you a lot to talk about and makes you seem far more qualified than the thousands of personal statements which boil down to :
*I did extracurriculars -> I want to become a human rights lawyer and help people -> I've wanted to get into university X since my conception -> let me in still
This academic approach makes a lot of sense for the dual degree since you're essentially justifying why you should be qualified in 2 jurisdictions instead of just one.
I really really wanted to take up the dual degree, but you need to pay tuition to CUHK for years 3/4 and it's in the realm of £40,000, before accommodation, etc. Even though you're eligible for the maintenance loan when abroad the max doesn't even cover tuition alone. Also, acquiring the CUHK JD disqualifies you from receiving a UK Government Postgraduate loan, as you have obtained a postgraduate degree already (The JD).
I hope this helps you make an informed decision!