Pochettino's burden is very heavy because Chelsea is currently a team that is in a very downturn and right now they are overhauling a lot of players in the squad so Pochettino has to reorganize this team from the start.
If you want to make Chelsea a top team again, Pochettino needs a process and time. I have a little doubt on the part of Chelsea's management, whether they will be patient because last season, as we know, Chelsea's management made decisions very recklessly which harmed this team.
Chelsea's management should be a little patient and give time to every coach they bring to their team, not immediately fire them when the team doesn't get good results. Next season everyone will see how Pochettino coaches the Chelsea team by applying the experience and method he already has at the moment, although Pochettino will have to change several players. And make old players better so that Chelsea can regain its achievements which were left far behind last season.
Now things like that must indeed be a concern for management, don't let them quickly conclude their performance from half a season or a longer one, for example. Making a decision will be something very crucial at a time like this, I know they want a quick process so Chelsea can get back on track, but they million must realize how they are now.
If they demand the coach to be able to quickly improve their performance, in my opinion it will actually cause new problems, because the coach will definitely be more burdened when he has to target something set by management. And that's not a good thing for the development of the team.
They should have learned a lot from their experience last season when they decided to fire Thomas Tuchel, instead of the good things they got it made things worse.
Let the coach run the process, and in the process it will take a very long time.