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There are exceptions of course, but they are often less about “finding a niche”, and more about politics. Taiwan is an important client state of the US for geopolitical strategy. Such relationships can include more favorable trade deals. I don’t know much about Singapore except that that it’s all about the finance “industry”. Seems like it’s the place where Eastern and Western billionaires can make financial transactions with each other.
I’m saying Taiwan was able to develop its niche due to its strategic (geographic) interest to the US, not the other way around. China has raised millions out of poverty via cheap labor, yes. However, the reason is that its size allows it to maintain ownership of the profits, which are reinvested in China.