My thoughts are similar to RJM's. First, RBI ratio is relatively meaningless because where you hit, who you hit behind and how good the group is as a whole are big factors that are somewhat out of the control of the player.
I lean heavily toward making sure best hitters get as many AB's as possible. So, for me, no on the balanced lineup from that standpoint. I did subscribe to some of the other new thoughts in my later years of coaching, like placing the best hitter at #2 or even #1 instead of traditional #3. Beyond that, the order did factor in many other things that provided some level of balance but was specific to what the group had to offer as a whole and individually. Left/right, mixing speed and slow, etc. when you have the luxury of minimal dropoff in abilities top to bottom.