I really quite enjoyed my time with Just Cause 3, however, one thing that is hard to avoid is that the game does not run particularly well. There are many performance issues in all the versions of the game.
This isn't lost on Avalanche Studios either. Taking to Steam, the developer explained it knew of the problems and was currently working on fixing them.
…we know that some of you are encountering some technical issues – we're looking into them all and we're fully committed to providing you the best possible experience.
We know you're going to want specific information on when a patch will land and what will be fixed – we would love to give you that information, and we will as soon as we have it. But right now, a little over one day since we launched, we have huge numbers of players in our enormous game world and we're monitoring all the data coming in.
We need a little bit of time to recreate some of these issues and build fixes. Rest assured though – we are fully committed to making Just Cause 3 as awesome as possible.
While not stated explicitly, you have to assume that these fixes extend to console versions of the game too where the problems are even more pronounced. I'll let you know if there are any updates on when significant updates will drop.