The people that gather and publish the data are historically pretty unbiased and open about methods. You can go get the raw data and methods. Some of the places that publish them like FRED, are not even under direct political jurisdiction. They are not at all the part of the government that is affected by the data they publish, and being run by a reserve bank puts them at pretty far reach from meddling by DC.
You can't stop politicians from using the data they like most, but don't pretend that ALL of the data isn't available in useful format.