Your hopes are very optimistic, no matter how good Pochettino is, but I very much doubt that Chelsea will be able to compete for the first place, for them a place in the top 4 would be a very good result. Keep in mind that Pochettino will only start working with the team from the beginning of this season, there will be some kind of adaptation of the players to the coach, then most likely it will be necessary to correct the squard, since I doubt that all the players will be able to perform their tasks, there may be injuries and that similar. Formation of a team is a very long process, but I believe that Pochettino is able to achieve a good result with proper funding and with enough time to do so. It is also important that Boehly does not treat the team like a business, his dissatisfaction with the results is understandable, since he spent about 600 million on transfers, but expressing claims to the players arguing this with money wasted will not help improve the results.
Agree with you, I'm also not sure that Chelsea will be able to compete for the EPL trophy next season, they are in the top four, that's already extraordinary. It's true that Chelsea doesn't lack quality players. What is lacking is the chemistry between the players, which is almost non-existent. The relatively high price tag makes Chelsea players appear to be in a hurry to show who they are.
There is no aura of joy there. And this is a burden that makes them "stuck" with the establishment of a circle with high pressure. And when the scoreboard looks minor, the mentality of the players seems to be dropping, this is serious work for the new coach Pochettino. Chelsea must respect the process more and that can be done with the presence of a cool-handed coach, maybe this can be done by Pochettino. Chelsea must learn from MU (FERGUSON), Man City (Guardiola), Arsenal (Wenger/Arteta) or even Atletico Madrid (simone). Regardless of the scoreboard results, win or lose, these teams have a clear playing character.