It doesn't matter how active Chelsea are in the transfer market and how much money is spent because it is the result and the performance on the pitch that will be judged. Because if a budget of that size does not show significant results, Chelsea will automatically receive a lot of criticism, including a failed coach. There are risks involved in carrying the burden of responsibility for a well-known club in England. Pochettino cannot just rely on his reputation at PSG because the positions and players are very different. at PSG he may be successful but any coach who has more than 3 star players will definitely be successful without having to work hard.
Pochettino was challenged to build Chelsea from scratch after several coaches failed. So the question for Pochettino is whether he is able to complete the task or is he not able to do it but is still forced to do it.
If management and fans demand success in the near future, Pochettino will experience enormous pressure for every match they play going forward and it is feared that he will experience sacking before the league ends. any coach needs time to make his squad better, just see when Pep Guardiola came to Manchester City whether he could immediately give something positive and vice versa with the Ferguson era at Man United. In my opinion, it takes patience so that Chelsea can perform optimally, even if you look at the money they spent in the transfer market, it is not comparable to the results they got in the previous matches.
Pochettino's challenge looks very tough because management is demanding more this season and he also has to work hard to bring Chelsea to finish in the top three of the standings so that Chelsea can return to the Champions League. However, if you look at the results of the matches they have played, it will be very difficult for Chelsea to reach this position if they don't play consistently in the future. Because other clubs this season have also experienced big changes after going through several previous setbacks.