i don´t think i understand your post. in the first half you seem against this extra training, but in the second half you seem for it (even with a higher outcome than what i said, because i suggested a max of 0,03 per day only in the days when he plays a match, not everyday, as you say).
now, about the new users, here´s my point of view:
today, a new user receives players 20 years old or older, most of them already maxed or close to it. IF a new user gets his team early in the season, he sees some (0,03-0,05) daily training for almost a season, plus the match training. if he gets it in the second half of the season, oh well...
in the second season of his team, the daily training gets halved, because about 85% of his team is 22 or older. in the 3rd season i don´t think he gets more than 0,01 a day, if that.
by the 3rd season of a new team, if the manager is not discouraged by the low training progress, bad results and if he researches about the game and makes really good managerial decisions, i think it´s safe to say he can upgrade his academy to okay, maybe even good, if he´s got the team early in the season and made no other upgrades, so no upgrade in training grounds. a good academy might give him a few la6, maybe a la7 or 2 (correct me if i´m wrong). so now he finally has young players to train (with low CA, i guess 1 or 2), but no upgraded training grounds and only the initial coaches. training will be slow for at least another season, because it takes about 1,5 mil G to upgrade to good training ground. still no reasonable coaches. when do you think he will get his young players to reach their LA? i would guess by season 6.
until them, his old players get very little improvement, most of it coming from experience gain. don´t you think that 6 seasons of playing at the same level will discourage a new user? we need to think about the retention rate of new users too, if we are to hope this game won´t end in a couple of years.
under my proposal, the players of a new team would still gain daily training, even if it´s only when they play, but it would make a difference over the seasons. since most leagues are made up of bots at the lowest levels, a new team would have no problem defeating them and promoting, very early in it´s life, even if the manager is not the best tactician. that would bring more money and more satisfaction to the manager, not to mention that it would be more interesting for him to duel against human teams.
I have a striker that were maxed in season 4, he was CA7 back then, he played +200 matches since he were maxed and his CA increased a point, that was about a month ago, what would his level be if he would keep increasing since then?
i´m not very sure about this, but if the cutoff for training is at CA7 (not CA7,5), then each player´s own LA is between 7 and 7,99, when we talk about LA7. therefore, your player might have had some normal training coming from matches, instead of the usual 0,02-0,03, so we still can´t tell exactly how many seasons it takes for a player to pop a full level (star).
but, even if it would take some 4 seasons, as your case might seem to suggest, today´s academy players are older and with lower PR than in the past (it´s been a while since i received a 15 years old player from academy). this would mean they get to LA 7 around 20-21 y.o. . advancing at a rate of 2 seasons per star, they could get to 11 stars until they start decreasing, plus some extra, if the player has LA higher than 7. what´s wrong with having players with CA 11, instead of 9, since CA is limited to 15. besides, the new users would benefit from this change, too.
the gap between old teams and new teams would not increase, nor decrease, but the gap between new teams and bots would definitely increase, and that might be a good thing.