Nobody is "fighting" to get him back earlier. The consensus is that even if it is quicker, then it's not a ton quicker.
You still are not understanding what I posted and if you do you are not relaying that information. I said if you are getting a better doctor anyway, then there is no reason to wait. So if it shortens the injury then that's a bonus and you might as well buy the doctor because the main purpose is to prevent injuries and there is no reason not to buy one right away.
I also gave you a scenario in which training GS would allow him to be in okay GS when he comes back. So say he comes back a little earlier and makes it back by a playoff or relegation game, then it would be key that the injury healed quicker and he is in decent GS because of the training. Do I recommend training GS normally? No, but if it's important to have a guy in good GS so you can advance in the playoffs or stay afloat, then why not?