The only drawback it has on non-blockchain games is the fact that battles are not interactive.

I have an idea concerning this: maybe at first step one could allow players to change the order of their teams after every round? Does that sound interesting? It wouldn't be a huge intervention ...

I tag @yabapmatt so he might read the suggestion.
(Actually, I am not convinced that it would improve the user experience of the game, I am just collecting ideas ...)