Lots of misunderstanding about Global Entry in this thread.
Global Entry is the expedited immigration program and has *nothing* to do with the airline. You can use the GE kiosks upon landing in the US regardless of the airline that got you there.
PreCheck is the expedited security program and *does* rely on airlines integrating with TSA's systems. In this case, you would not get PreCheck.
While membership in Global Entry gets you PreCheck benefits, the programs aren't really that related. They're run by different agencies.