If, as you're saying, a complex system of corruption has affected where public money is spent, isn't that actually a great reason to question the legitimacy of police budgets and consider pushing for that money to be spent elsewhere?
Sorry, I left that part out. My browser sends DNT=1, and I get 1/1.67, which should mean that 1/1.67 browsers send DNT=1. This means that the total share of browsers that send the DNT header at all is at least 1/1.67, but probably higher.
https://panopticlick.eff.org/ reports that 1 in 1.67 browsers send the DNT header, so the best option fingerprinting-wise might be to leave it on, at least information-wise.
[1] https://www.pfsense.org/ [2] https://openwrt.org/