the good ones I got from GREAT WALL Electronics.
BTW: you still can program the 'wrong' module - just leave the fake reset pin alone and use the CHIP_EN pin instead of reset (make sure you put it to ground for at least 300 mSec to reset)

Just got some more ESP-01 black modules from aliexpress, but different vendor. These modules have correct header and RST is working properly. BTW: My previous modules would go endless loop without the procedure from https://www.letscontrolit.com/forum/viewtopic.php?p=14461#p14461 Programming new mod...

resoldered (see the picture). My soldering skills are not the greatest - sorry for the ugly picture. Unsoldered the resistor (red circle in the top right) and cut the conductor (left circle)
Can confirm the reset is now working as expected

just looked at my ESP-01 black edition (from aliexpress) and the RESET pin is connected to the XPD_DCDC (GPIO16) of the chip :( That explains why reset is not working. I'm not sure if this is true for all 'black edition' modules or only for the particular vendor. This is sad as I was hoping to use d...