I've have only ever got 1 injury and it was a long time ago (as soon as they implemented injuries)
So no I cannot say I have experienced this.
I am guessing that tired players are more likely to injure themselves (at least this is true in real life - cramping and pulling a muscle).
If it is not the case then maybe the other thing to think about is if they are on the court they can be injured.
If they are not they cannot be injured. I personally cannot see it being completely random that an injury event occurs but maybe that is how it is coded.
Either way the longer someone is on the court the more likely an injury. BBs please correct me if I am wrong.