The music is the same as the original. It just starts later in the scene because of the added shot of Slave 1 following the Falcon. But, at the point you are talking about, it is exactly the same as in the original, music wise. There is no jarring or bad edit there. The only thing different is the engine sound. If you wanted to replace it with the original audio you couldn’t without replacing a few shots because the sound effects would not line up with what’s on screen with Slave 1 starting its engines later.
Hmmm, okay, I guess the sound of the Slave 1 engine made transition between the escape music and the ominous cockpit music sound weird to me. It kind of sounds like the Falcon escape music stops abruptly.