When a game is implemented with concurrency (as most games are), does this necessarily, by its very nature, introduce an element of randomness into the game that is outside of the players' control?

Note that when I use the word "random", I'm not meaning to launch into a philosophical debate about the deterministic nature of the system. I understand that concurrency is deterministic in the sense that the operating system decides which processes to allow time on the CPU and in what order (or the JVM controls which Thread's turn it is to execute, etc). But my understanding of this is that there is no way to control or predict whether one thread's next command will execute before or after another.

The reason I'm asking is because this seems like a fundamental difficulty for game development where a game is supposedly designed around a player's skill. Consider a game like League of Legends. Assume that two players are battling it out. It's a very close contest between the two and it's coming down to the wire -- so much so that whoever gets their last attack off will be the one to kill the other and win the game for their team.

If the players are implemented using concurrency and the situation really was like this, is it essentially out of the players' hands at this point? Is the outcome of this match all up to whatever system is arbitrarily deciding which player's thread/process will execute next? If not, what am I misunderstanding about concurrency? If so, is there any way around this problem so that a game of skill can always be a game of skill, especially in those most crucial moments?