Are you sure about the 0 ohm resistors?
I bought a set of one ESP8266/12E together with such an adaptor.
And there are three 10kohm resistors on my adaptor board!!
They are soldered and connected like this:
Vcc IN --> [R1, 10k] --> pin 16 (Vcc) --> [R2, 10k] --> pin 11 (CH_PD)
GND IN --> Pin 1 (GND) --> [R3, 10k] --> pin2 (GPIO15)
R1...R3 from left to right.
So R2 is used as a pull up and R3 is used as a pull down.
But why is there a resistor in line with the power supply?
Didn't get it to work with my 3.3V power supply.
Unfortunately I broke my adaptor board's traces while desoldering the ESP.