ST7036 LCD not displaying: Could segment pin mapping differences cause blank screen?

Hi Using an existing LCD sample as reference, I have sourced out for competitor design of a similar LCD from another supplier to save on cost. When the competitor samples finally arrived, the LCD would not turn on.  All voltages match however I notice a difference in segment mapping. Please see attachment.  My question is, if the pin mapping is off by one segment would that be enough for the LCD to not turn on?  I would still expect to something on the LCD. Please help. Thank you.LCD SpecsDriver: ST7036Interface:6800 Series 

LCD modules that I've worked with sometimes have a bias voltage that is required to set the contrast. If that is not correctly set, the LCD may appear to be off.
Check the data sheet for the module for what voltage range is expected for the bias. While you are there, verify that the connector pin-out matches what you have wired.
If the pin mapping for the driver is off by one segment, I'd expect that you would see garbled data.