Just heard back from Anker’s support folks this morning on this problem, and there’s a troubleshooting step that’s missing from all of the other visible instructions that I could find (until I looked again at Aghanloo’s tip above (Soundcore Life P2 not connecting together).
Here’s what Anker support shared:
Firstly try to forget the pairing records (both Soundcore Life P2 and Soundcore Life P2 L) on your device and turn off the Bluetooth.
Reset the earbuds via the steps below:
Place the earbuds into the charging case and make sure they are being charged.
Keep earbuds inside the charging case , press and hold the button on both earbuds for 3 seconds. *The LED indicators will flash red 3 times and then turn white. *
**After the reset, take both earbuds out of the charging case to make sure they are successfully paired; you will see the white light flashes quickly on the one earbud and the light flashes slowly on the other side, which means they pair together. ** (I wasn’t able to find this particular step anywhere else on their website until they emailed me the full steps that I’m copying here)
Turn on the Bluetooth again and search for Soundcore Life P2 and pair.
After the hard reset, taking the earbuds out of the case and waiting for them to pair to each other via white blinky lights before attempting any other Bluetooth activity resolved the issue for me.
Hope this helps someone else having the same issue.