Yeah, it will sound more gibson. That Nighthawk guitar probably didn't come into light because of 2 things:
1) the angled humbucker on bridge, not everybody enjoy that look.
2) the Fender scale.
That made it sound more like a super strat than a ""Gibson"", so, the guys I know had one didn't like it too much because they wanted a LP guitar that weight less, but kept the tone...
So, if you use single-coils, it will sound more like a LP Jr, if humbuckers more like an SG... generally speaking...