The HD standard for AM requires 5 kHz analog bandwidth. Some stations have managed to do 6 kHz and a few tried 7 kHz. I am not familiar with any 8 kHz operations.
There are so few remaining AM HD stations that all this is a sort of theoretical argument.
Sorry - my number for the cutoff frequency may not be correct I was just repeating something from earlier in the thread. I know originally the cutoff was 5khz which was brutal and later they were able to widen it out some which helped a lot to my ears. I think I had read somewhere way back about it being 7 or 7.5khz. I do know when WBZ switched to this mode - whatever the exact cutoff was - the analog got way better, the background/digital hiss on my analog radios went away and on my HD tuner with signal health bars, it never went over 2 bars anymore even when in the strongest parts of their signal in Boston on the water front. So somehow that health was not signal strength but a measure of the HD resiliency.