It is clear that in the EPL Chelsea is not waiting for anything good, so they can just focus on the cup and it is in the cup Chelsea plays more confident. Maybe because the players do not feel such pressure for the result as in the EPL, but in the cup Chelsea plays much better and more interesting, scoring 3-4 goals and different and from standards and from the game.
There is no sense to fire Pocchetino before the end of the season, the team should spend at least a year without personnel changes and see what happens.
Yes, it won't affect anything by changing the coach for now before the end of the season, after all why do most people always think it's easy to change coaches so quickly, do they never believe in the process, after all Pocchetino needs time to make Chelsea better from their downturn even though in EPL they are ranked 11th but in other league championships they play very well. It is indeed difficult to be consistent and divide your time from a busy match schedule, I believe in the process and ability of Pocchetino, the results are not yet visible at this time, at least wait until the end of the season
Whether he is able to boost Chelsea's position in the top 10 or not, if he is successful maybe he needs to be given a few more seasons to find the right game for his team, so far Pocchetino has been quite right with Chelsea, it just takes time to see. the result of that long process, I'm not a Chelsea fan but I think changing coaches is not a good way to see the development of a club. especially since the coach hasn't coached several seasons, that's impossible.
This time around there is a feeling that Chelsea management will let Pocchietino work until the end of the season, perhaps the only reason he could be sacked is relegation from the EPL, but for now that is not a viable option.
I think that if Chelsea finish 8th or higher, Pocchietino will be retained for next season, if lower, then most likely his contract will be terminated.
While Chelsea resembles a "dark horse", because the potential of the team is great, the players are collected very good, some like Enzo and Cole Palmer may well grow into stars of the first magnitude, but so far the potential of the team is realized only partially, mainly in games against average and weak teams or in cup matches, where the pressure on Chelsea players is not so strong.