I finally bought one from iFixit.com. Far more expensive than eBay, but the battery actually worked great for about a year. Then about a month after the 1-year warranty expired, it degraded noticeably (maybe to 80%) with only about 100-200 charge cycles. Even iFixIt cannot source a battery as good as the original Apple.
Right now, it's at 65% capacity after 584 charge cycles, after 4.5 years of service. I will probably go back to iFixIt. At least I'll get one year of full capacity from them, instead of the fake or DOA ones from eBay.
For example, the fan did not work out of the box. I had to install something called 'macfanctld'.
Sleep did not work, it would wake up as soon as it went to sleep. I had to install something called a 'suspend-fix.service' hack.
Brightness control was flaky. It would always wake up at the lowest brightness setting. Disabling auto-dimming caused it to wake up at the highest brightness.