My own experience with GE90's (-110's and -115's) is that they only make ugly noises during start if they weren't cooled properly prior to their last shut-down. They call it "bowed rotor effect" and if one doesn't wait the recommended 20 minutes since the throttle was last off the idle stop prior to shut down, the next start will be noisy.
So, obviously, if it takes less than 20 minutes from landing roll-out to gate, (and surely, it often does!?), it's going to happen.