Do non-OEM iPhone batteries have a higher risk of exploding?

Remember when all those reports came through about iPhone 4 or 4S's having exploded in people's pockets or melting from overcharging or the like,
were those non-OEM batteries (made in China knockoff's) in those phones? Do they have a higher risk compared to the more expensive Apple replacement?
Do any of you use a cheap non-OEM battery in your iPhone, like bought off eBay? How are they functioning?Do non-OEM iPhone batteries have a higher risk of exploding

This is not the place to go cheap. Although the vast majority of catastrophic events with cellphone batteries are due to user stupidity, OEM batteries perform better enough to justify the extra expense.

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