It's true that in Latin America, if you are super rich, you don't want anyone to know it. The rules are all different and you can't play things like you can in the USA.
Yes there is corruption, but I see that as part of the rules that need to be played. And make no mistake, there is corruption in the USA too. It's just that in the US, the corruption is concentrated in D.C., whereas in less developed countries, the corruption is more evenly distributed through the whole country. I prefer to think of it as placing the "benefit" of corruption within the reach of the common people. Arguably better than the US model where only the corporate elite have access to it.
But yes, if you want to and expect to live in a lessor developed country playing by the same rules you live by in the USA, then you might not like the results so much, especially if you are very wealthy. You have to adapt to any new culture, and economy you relocate into.
And I'm sure these crime stats are for the large cities. I wouldn't want to live in Chicago, NY, LA, or DC either. Living in smaller places is much safer.