I think that if the function is still in implementing and testing phase, and these things do not impede the game, the best choice is this forum.
I would like to: the game on the summary screen will take into account a player's nick who joined to the battle which already begun, and the information about joined time: "player joined at:"
e.g.
Few days ago I joined to red slot and after the battle I saw this:
...and I think I should see my red nickname and below:
"player joined at: 05:23"