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Experience alone is not enough to bring a team to become a champion. Allegri needs to get support from management to make player purchases that Allegri needs. Many names of players are rumored to be Milan targets, but until now there has been no deal, except Modric just almost coming to Milan. If management does not immediately make a decision to support to buying player as Allegri expects, then it will be difficult for Milan to be better next season. Maybe they are just made a target for UCL, not to be a champion.
Yes. It's not enough to bring the team out as champions at the end of the season. I think just maximizing the existing squad is also not enough to convince a team to come out as a winner without any additional new ammunition that is considered suitable for the coach's game strategy.
Allegri is known to have cold hands but so far it is rare to hear the names of famous players who come to AC Milan, only Modric who has definitely joined after the FIFA Club World Cup finished strengthening Real Madrid. Modric came but Reijnders left.