DHT22 doesn't transmit to NodeMCU V0.9
Have you tried using one of the myriad Arduino libraries that talk to the DHT22? For example, read through learn.adafruit.com/dht? Their source code is open and you can emulate what they do in whatever manner you like.

I recommend you run the code from some library and observe it actually working, and then use your logic analyzer to see what that code is actually doing, rather than counting on your inspection / reading of the code. Chances are you missed some nuance of what the library you are using as a reference is doing.