An over driven driver is an over driven driver and it doesn't matter if the driver is being over driven by a music track or a movie based sound track. The demands on the driver are greater than the capacity of the driver. If one doesn't over drive the driver, there won't be this glaring, human caused problem. If one is consistently over driving the driver, they need more capacity and their choice in subwoofer is the limitation, not the choice of content.
Don't blame the driver for a person's bad decisions. If one wants to spend more, they'll get a more capable driver such as one made of aluminum as opposed to paper (better transient response) but again, that's the fault of the user choosing an inexpensive driver, not the content.
If a subwoofer system is not dialed into the room's acoustics properly, the room's acoustics are going rob the subwoofer of performance (cancellation/reinforcement) and the user is going turn up/down the volume to compensate for the performance robbing modes and in the process, ask more of the system then it's capable of providing. Again, the problem is a user caused problem. The content is not a consideration as to why the subwoofer system is not performing according to the desires of the owner.
If one wants it loud, then dey gonna have to hit the hip and break out the Benjamins. If dey want quality sound, they're gonna haf ta learn about subwoofer integration. If dey don't wanna break out the Benjamins then the owner of the subwoofer system is just going have to lower their sonic expectations and keep the MCV turned down to a level the subwoofers can handle. Content has nothing to do with the final results of a poorly chosen and integrated subwoofer system.