I have the same situation. Although I play 2 games a day typically, injured people didnt play more than 1 play a day. I think they key here is that you won every game in season. This is stupid but It seems that you will have more players injured until you will start to lose games. It becomes really idiotic. I have 3 players injured today during 2 games. It seems to be part of game logic. At least you should not train players who will play today. In this case they wont grow well.