I don't want to go with the idea as proposed, but I don't want to shoot it entirely either.
I don't know about others, but seeing skills like atrocious and pitiful does not invite to train on those skills since it will take a lot of time to even get them to mediocre, which isn't that great either, but will be a start to train a good player...
Therefor, I'd say, the idea is good for atrocious up to awfull skills to raise with an amount of playing minutes (so not real random pops, players do need to play to get better). After all, it is hardly believeable that a player who spend like 500 minutes on the field is still atrocious in passing or jump shot for example. However without the proper training, it will not be so unreal that a player can not get past inept... The closer the player gets to inept, the longer it will take to get better without training.
This does soften the low peaks in player's skills, which not 1 manager will be willing to train (e.g. if you have 3 centers, 1 with atrocious passing, 1 with atrocious handling and 1 with atrocious outside defence, I hardly imagine you will be training these 3 skills for a whole season to get them to awfull, where you can make them al much better in the inside skills during that time)
It also might encourage managers to train the low skills instead of focussing on the mediocre to higher skills when they have a few players with the same low skills, since they will improve a little quicker then when they would be past inept already. Where managers might not want to train 2 full seasons to get them to mediocre, they might now get this done in less time, and decide they want to spend it on it.
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