I understand how "rounds" work, it doesn't change the fact that it's broken and shouldn't work in that way. If I enter during the round, it should go on as normal and on the next sequence roll it should exclude out the people who had their turns in previous round. That way it's fair. They had their turns, now we have ours.
Maybe there should be a flat one turn advantage to whichever party has the better PE.
There should be some benefit to having good PE and OD; it should really be more about who stumbles onto who unawares.
how does THAT make sense?
You are right, that's no good. But current system is not good either. So what's your point?
There must be some mechanic responsible to determine the players turn, if it will be random, that certainly won't be good.