I think it'd be useful to have more advanced/detailed post-battle statistics/reports. For example, I'd like to be able to see:

Healing done
Damage taken
Damage absorbed/shielded
Healing received

I'd also like to be able to tap on a specific hero to see individual stats for that hero. For example, after a fight I could tap on Turtle Fighter and see a report for his contribution to the fight:

Damage Turtle Fighter did to each opponent
Damage Turtle Fighter received from each opponent
Damage Turtle Fighter did with each of his abilities
Control/stun time Turtle Fighter inflicted on each hero
Healing Turtle Fighter received from each ally
Etc.

I would suggest implementing this by adding an "Advanced" button to the post-battle report. The player could tap that button to then drill down and get more specific stats. I think this would be immensely helpful to figure out what effect each hero is having on the battle. I would also love to see a post-battle combat log, like most RPGs have.