Well, I can assure you that once he starts performing badly and CSK starts losing matches because of him, the fans will start complaining.
Wrong. Did you even watch the previous editions of IPL? CSK did lose horribly and ended up on the bottom of the table several times, but most fans still supported him because no one is perfect.
That was a different story. CSK was losing because almost all of the players in the team were performing badly. But once the fans see the team losing just because of MS Dhoni not performing well they will quickly turn on MS Dhoni. They are not going to support him if the team loses because of him. A lot of people are saying that they are going to keep supporting MS Dhoni just because he is still playing really well.
Just wait till he starts performing badly and that damages the team. Even Virat Kohli was criticized for a lot of things that he had done outside of cricket. And he had also faced a lot of criticism for not being able to perform for a long period of time. I don't think the case of MS Dhoni is going to be any different.