Hi Policy_Wonk_18
For me, the main reason I want to go to HKS is for the network. As you mentioned there will be many highly accomplished individuals on the program and I would love to learn from them and have them in my network. The program has graduated folks like Ban Ki Moon and Presidents. Plus the Harvard name and faculty is a big plus. I love the HKS ethos and I do think they genuinely look for people who want to do good in the world. I have zero political / government connections etc but I still got in.
There are so many other great schools in the US, some arguably better than HKS, but as a British citizen Harvard is one of the few institutions that is universally heard of and regarded. The British are somewhat ignorant of American schools and vice-versa. I want to go somewhere that is internationally and universally recognized as I tend to work abroad a lot and I am not from the USA.
They are just some of my personal reasons. Opportunities are what you make them. Harvard may not be the best school for everyone but I think it is for me.