Well I think there are many factors to consider here. A normal player plays, lets say, 65 minutes a week approximately. This is easy to achieve and will maintain good gameshape.
If you decide to play a player for 144 minutes a week then chances are he is going to foul out more frequently, because he is playing all 48 minutes of a match which means his performance is worse over the match and he will foul more and so he will have higher injury risk. So he probably won't get 144 minutes most weeks anyway. And even if he does get 144 minutes a week, his gameshape will be really really bad, so he will play worse, which means he will foul more, which means he will either foul out more (which means you don't get 144 minutes anyway), or because of the higher number of fouls and hence higher chance of injury he will be injured. And the player would be useless to your team which means you will find it very hard to win games in your league. So I don't think it is a good idea.
If a player gets injured only every 100 games on average then the experience gain just might outweigh the loss of training due to more frequent injuries.
I think injuries are more frequent than 100 games.