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.
Chelsea do have a team, but how effective is that team. They have a lot of young players I think don't have enough experience to pilot the affairs of the London pride and it played out last season. If the management of the club wants to pump in Money to help the manager buy some players he feels will help improve on the teams current performance, I don't see any problems with that.
The kind of team you're looking out for Chelsea to get will Definitely take a bit of a time, Chelsea literally overhauled their team for last season and brought in new set of players who for me I still think are learning on the job, give them the next two seasons or even lesser, then you will see the army they will turn out to be. Mikel Arteta had almost similar experience with arsenal, but today the Gunners are one of the most solidify team in the English premier League.
Chelsea have everything but a solid mindset in them. The players are good, the wage structure is broken but at least the players are happy. But we have to keep in mind that a club does not fix itself from the ruins in just one or two seasons.
I think for them to get back in the Big 6 status, Todd Boehly has to ensure more trust in the manager and the players and let them do their things. If they are given time, things will start going their way more often. The manager that they have right now is great and had a great season with Leicester. He needs to be given enough time, and they will return to who they were 2-3 years back.