Sounds like a good way to get an intermittent unreliable contact. I would solder headers on it like this (see image):
http://www.engineersgarage.com/electronic-components/16x2-lcd-module-datasheet
And push those into the breadboard, and then make connections on the adjacent connected holes. When I was ready to solder up my project I would solder the header into the project or put a female header on the project, that way I could use the LCD on some other project by just disconnecting it.
I'd call that the LCD interface. Not sure what else to call it. Even the data sheet doesn't explicity name the area, it just calls them pins when they are really through-holes for pins.