Chelsea getting a huge cash injection is not going to "solve" anything for them. Lets be real, they do not have a bad team anyway, and they got a good manager, that is not the problem and money certainly isn't because they have some awesome players they bought as well, overpaid mostly too.
The issue they have is that they are not a "team", like if anyone thinks that City has the best team in the world, or at least in this league, has no idea about football, they have one of the best, but not better than everyone enough to win it four in a row. Why are they dominating then? Because they are a team, and being a team beats anything else in the world. Chelsea needs to learn to be a team, and if they do that, then sky is the limit for them, they have everything else ready.
So basically Chelsea looks like an individual who doesn't want to play as a club? I think this makes sense, especially since this club doesn't have a leader on the pitch to be able to reprimand its young players if they make mistakes or are too selfish. If this continues, the budget that has been spent on buying players will be wasted.
If we compare it with Manchester City, it seems too far, especially since The Citizen is very compact as a team and has the goal of winning the title every season. The tactical support led by Pep also really helped his team in handling a deadlock and that is a plus point that they have. I don't know what will happen to Chelsea next season with Enzo Maresca and if this new coach can unite Chelsea as a team then the problem has always been with the previous coach. Meanwhile, finding a leader requires a long process and this is a piece that they must complete.