OK first a quick story illustrating my point, then a possible solution.
I was playing a freestyle game with my dad and my brother. I eliminated my dad so it was just my brother and I. Of course there was the tough talk between the two of us about who was going to win and whatever, but then he said something that caught my attention. He said he was going to make me miss my turn, and, therefore, put himself in a prime position to win. At first I dismissed the threat as something he made up, but then he delivered, and if it weren't for us being in the same house, I would have missed my turn. I was the last person to go in the previous round, so I had to wait for him to start his turn in order to go again. He waited til approximately the last five minutes of the round's time to start his turn, effectively giving me a five minute window to take my turn.
To account for this, I think freestyle mode should be changed so that the time for the round resets when the first person of that round takes his/her turn. That way, everyone gets more of an equal opportunity to take their turn, without having to worry about malicious strategies such as the above, which would have worked if I had gotten home from work five minutes later.