Your files are great to illustrate what I said above :
The HW obviously has more "weight" to it due to the harmonic distortion (that is the nature of electronic components). as a consequence it add harmonic components and "stretches" the audio in all axis (what you experience as "deep", "wide", "substantial" or - in everyday language - "better"

). try adding some sort of light distortion after the reverb return (insert a distortion or saturation on your aux right after your reverb. that is : you distort the tail alone), you should end up with the same perceived results.
The 96kHz proves, again, my post above : reverb tails sounds - in my experience - COMPLETELY different when processed at higher sample rates. the processor can be "aware of" - or, rather, "sense" - all the high-end info that is getting lost in the lesser sample rate. and that high-end info translates to the dimensions we experience in sound (wide, deep, encompassing, etc.). I was amazed of the results I could cox out of even your "bread-and-butter", much less hyped - SW Reverbs... when processed at 88.2/96kHz.
Not so long ago I processed a pad with Greg Hopkins' IR's, loaded onto Reverberate. and man... I was, like, overwhelmed. for real. the same things you experienced : it was HUGE, encompassing, buttery smooth and not "pasted" onto the processed pad.
Again, sw or hw... everything goes. just process at 88.2/96kHz. always (unless you seek purposely the grained, lo-fi sound of the lesser sample rates. which is also fine... if that is what you seek for).