That’s because it’s two different pieces of music being talked about. The gunbarrel is derivative of what we’ve heard time and time again. The piece that @secretagentfan refers to is from something else. which much more closely resembles what Zimmer has become known for.
I actually like the bit from the scene from The Tonight Show much better. If you’re going to hire Zimmer, you’re hiring him to do that, for better or worse. I’d rather hear the composer put their own stamp on the familiar sounds in addition to creating something new, rather than just mimic what has come before. The gunbarrel is a mimic. The Tonight Show scene, for better or worse, is much more what one would expect from Zimmer.