Thanks for your comments.
The idea behind the random table is that you roll it at the start of the turn, but it scores the points at the end of the turn.
So at the start of the turn both players will know what will score them a point. Then they can deliberately try to set it up so that their unit is 'it' at the end of the turn and fulfil the requirements to score an extra point.
You might be correct that 12" is to much. The idea was to stop people from hiding their 'it' unit in the corner or deep into their deployment zone but perhaps 6" would be better.
The original name for this mission was 'Game of Tag', but I tried to make it more thematic, so a pitched, locked in battle sounded desperate and cool to me.