Sorry, but I don't understand your answer.
How it will be possible to continue both win strikes ?

If they submit identical teams in the moment in most cases one win this fight (and continue the winstrike) but his opponent loose than (and cannot continue the winstirke) or how it is possible that both win in a fight ?

If I see games like or other board games both players start with exactly the same team and it's an intersting fight who will win the game.
Why it cannot be interested to see who win if both have identical team ?

What is bad if a battle is decided by the factor "luck" - I know it sucks ... I also not happy if I loose a battle cause my monsters has all missed Cocatrice in the whole battle - but what should I do ? Just accept and try the next time the same with my opponent (where he than smash away with Cocatrice with the first two monster who naturally don't miss MY Cocatrice HAHA).