The issue that kills HD in many AM installations is "pattern bandwidth" which is typically not very good in directional arrays with very deep nulls. If the pattern bandwidth isn't linear and sidebands aren't absolutely equal, the analog self-interference rises to unacceptable levels. As you drive from one lobe through a null to another lobe, the relative amplitudes of the sidebands rise and fall. In analog listening this manifests itself in brief moments of "Donald Duck" type audio that sounds like SSB for a moment, as the sideband amplitude exceeds the carrier's as detected in your receiver. Most listeners never notice it but experienced engineers recognize this as "driving through a null."