I believe the differences between two well designed amps (which the Crown and Adcom are) are very slight.
I also do not trust my memory of what one amp sounded like to be accurate enough to be able to seriously compare two amps unless I can A-B them instantly against one another. Others do seem better at this than I (Zeiglj seems to be able to consistently compare speakers he listened to last night with ones he heard 3 years ago).
Having listened and A-B'ed many pairs of speakers, I have also learned that among good options, there are usually trade-offs that may not be clear initially. For example, one speaker may offer good strong bass. It sounds good, sounds better, to me than the other speaker. However after listening to enough different music, I realize that the strong bass is obscuring upper bass (like lower guitar notes) and the other speaker is actually the better (actually one will sound better with some music while the other sounds better with different music).
If you have the time while you are waiting for the Emotiva, listen some more to specific songs (of different styles) using both amps and see if you discover any other differences.
For example you might discover that while the Adcom sounds smoother and fuller in the midrange, the Crown offers a more open detailed resolution. I don't know that that would happen with an amp, but I have experienced that exact trade off with speakers.
Don't mistake what I am saying. I am not trying to convince you that the Crown is equal or superior at all. I am simply suggesting you spend more time evaluating because that has so often been useful to me.