added 2 audio files at the start of this thread.

I will add my idea that this probably has to do with internal routing and processing inside of EZD.  The presets not only have processing on the individual microphone channels but they can also be routed to busses and outputs inside of EZD (If it has them like SD2 does).  Therefore you would want to map the buss outputs to your SONAR tracks and not the individual mic channels.

This sounds right:

reginaldStjohn map the buss outputs to your SONAR tracks and not the individual mic channels.

  If anyone cares to link a tutorial on how to set-up a BUS multi-out.
 
AddictiveDrums2 is doing the same thing. The closest to the preset sound is Separate out (Pre-fader) + Master
All the effects (OH, Room, etc.) get sent to the Master, so it's not dry sounding, but it still sounds different.
Some noticeable sound issues:
"MIDI doubling effect" it's really noticeable on the snare it sounds thin (like when two midi notes hit at the same time)
Even if the kick and snare tracks are muted.
 
Here is what I'm trying to do:
Each drum (to sound exactly like the preset) only output to it's own track for more tweaking.
Some of the kit pieces sound great as is, some sound great, but just need some tweaking.
example: kick sounds ok, but I want to mix the kick + AUX track to trigger a gated sub and add EQ on individual drums. When they are blended with the mains, it sounds terrible. So the drum main outs (preset and multi-out) sound the same, but the multi-out tracks get added to it, that's when it sounds wrong.