Technically wet markets are everywhere, it's just the live wild animal markets that have caused this (and several other major diseases that could have easily led us to this). They keep varied species of wild animal in close proximity, these animals are in close proximity with humans, the hygiene and sanitation are terrible. Many of those species are imported from other Asian countries and from parts of Africa, often illegally. You have the Maoist era tradition of eating anything that can be eaten (because, like most communist countries, farmers were class enemies and the average man off the street could of course do a better job, which led to a famine that exceeded that of the brainbox Stalin). The wild animals themselves are often consumed by a minority of the population, these people are often very wealthy and very well connected within the CCP. The other major use, which we'll all know, and despair of, is in 'traditional Chinese medicine', which, exceeds even homeopathy in its kookiness, it's also largely responsible for depopulating large tracts of the fauna in Africa (which China exerts increasing, and inexorable influence over).
Ebola is somewhat similar, as the pattern usually follows the consumption of bushmeat, usually a primate of some sort, people get ill, but it fizzles out due to the high fatality rate. It's a lot more understandable in Africa, as the areas it breaks out tend to be remote villages, where people live in poverty and need to eat to survive. Plus in those remoter areas there's still a great deal of mysticism, which really doesn't help. There are also rather a lot of conspiracy theories concerning the origins of certain diseases, which the USSR put out to discredit the West during the Cold War - but is no longer around to revoke, so there's a general suspicion of western medicine.
There's a great deal about the CCP that's frankly farcical, I'd advise anyone wishing to know more to look up 'The Cultural Revolution' and the 'Great Leap Forward', then consider that we're dealing with that system, ran by a leader that's built their image around returning traditional cultural practices, and whose government is actively promoting traditonal Chinese medicine as a potential cure for this disease.
We've given the PRC the degree of power it has through greed and short-termism, but as liberal western democracies we can't afford to allow this system of government to continue to gain influence, this is something, that our national government's are beginning to treat more seriously, we can only hope that it's not too late.