In general I’d say everything you listed is desirable … but for some reason, I can’t prove, I bet you could meet all of them and fail to have a great sounding system.
The first item on my list would be
1) someone who is interested and invested in creating a great sounding system
Over time what needs to be done to make it great will vary but in general I agree with 4, 5, 9, & 10 on condition: the acceptance specs are reasonable.
On the other items … I’ve had pretty good sounding rooms which didn’t meet 1,2,3,6,7,8, 10-13,15 (14 I’m on the fence … depending on what you mean by matched)
But they might have been improved if they where implemented.
I just have not put together enough rooms to have a formula. For me … experimenting is key. | 
