Buy one in Poland or Bulgaria or Russia, and you have about a 75% chance it'll power up at all, and about a 50% chance it'll work in 5 years. Same TV.
Something is made in China or India. About half of the production is perfect and gets sent to "The West." Then about half of that is "it's probably fine, but didn't pass QA." That last 25% is straight up dangerous and defective, and that's what you're buying on ebay. As an example, half the phone screens for iPhones don't pass QA. Those are the ones that get sold on ebay.
Now, for most cases, you battery will simply live half as long. For a few cases, it'll leak, light on fire, or overvolt your circuit and destroy your device. Then all those savings on batteries you've had over the years will be wiped out and then some.