@al1 found that his 4014 LEDs have a reverse protection diode. I found the same and made the v.2 layout.
Today, I started to solder the #DYPLED prototype so I opened a new batch of LED (warm white instead of neutral) and... NO DIODE !
Alex, don't throw your PCB away, I'll solder mine and see what can be done. I'll see if I could send you a few diodeless LEDs :-)
So in the end, there are 2 types of LEDs, hence 2 types of PCB...