Imo what most JWs call "politics" is actually the institutional structure and working of democracy. After all, they hardly think of Bible characters such as Joseph, Mordecai or the kings of Israel as "politicians," do they?
In representative democracy there are several ways to influence the legislative process. One is institutional (the election of representatives with a specific, although not mandatory, program). The other is lobbying, which may imply both working on public opinion (especially through the media) and secretly pressuring the decision-makers, unbeknownst to the mass of the voters and taxpayers. The latter is the least "democratic" and, interestingly, the least objectionable to the Watchtower.
The very fact that the WT representatives keep this kind of action secret and duck away as soon as it is revealed is telling. Realpolitik is to be screened away from the candid average publisher who really believes that the entire political system and religious organisations are Satan's realm, and that Jehovah will defend his people provided they stay clean from this world.