It all depends on the gravity of the offense that you committed that will make the government to track you. If the offense is something that is worth tracking you for, then the government will track you, no matter how private you keep your data from the public. It might only take them a long period of time to track you down. However, if you patronize the centralized platform, it wouldn't take them time to track you because they have where they can get your data from, to make it very easy for them. As long as the government carries it upon their head to track you, you will be tracked.
Ironically, those governments where the most of the technological companies are based in (The United States and the European Union) basically collect all the information possible from all their users, so they are already tracked down and then, that information/data is used if necessary.
They do not start to collect that infor action if they need to track someone down, they first track all the people and then focus on those who are relevant to them.
I am sure you may have heard about the case of massive surveillance uncovered by Edward Snowed, PRISM.
Even though the public opinion was very concerned about the way the Government of the USA massively collects information, personal information and messages from us, they continue to do it to this day and not only for commercial purposes. To them it is a matter of national security, about intercepting those they deem to be a threat to the interest of their nation.
In conclusion, we are all already tracked.