Anyone see a problem with that concept?
(it costs money to draw the government's attention to problems.)
Uh, yah. It's called "corruption".
In the past in America, it was illegal to give money to politicians. Now, lobbying (bribing) politicians is a huge industry. All thanks to the machinations (lobbying) of capitalism.
FWIW, in Canada, elections are partially funded with government money. Same in the UK.