I recently bought a number of these, and have written about them (including schematics and measurements) here:
http://www.markhennessy.co.uk/ad584_references/The ICs are reclaimed, and therefore nicely aged (hopefully!).
The KKMOON version is good, and comes with believable calibration data. Some switching noise. There is a battery management IC controlling a dual MOS-FET, but a pair of deliberate solder blobs are shorting out the MOS-FETs (same on others that I've seen using the "2015" PCB).
My "L" version also came with the same fake cal certificate. Glad to see a decent number of folks on here have exactly the same numbers I do - along with a couple of other people from another forum. What date codes do you all have on the IC? In all the close-up photos I've seen, I've only ever seen "1015". Could they be re-printing (hence not genuinely "L"-spec), or did they simply stumble across a massive batch somewhere? The ICs are clean and shiny, so perhaps could be NOS rather than reclaimed.
Finally, I picked up a tiny bare-bones PCB unit that uses the "J"-spec IC (though it comfortably meets "L"-spec if my measurements are reliable). Useful for building into a project.
All units meet their spec, and are great for the money.
The start-up problem is caused by the capacitor surrounding the IC (pins 6 and 7). There's no external sign of oscillation that I could find when investigating. Reduce it to 10n to reduce the time spent in limbo. For testing, set the output to 10V (remove jumpers), and then briefly short the 2.5V pins - that reliably provokes it. I haven't noticed this behaviour with the KKMOON unit.