I wouldn't like to speculate on how significant this bias might be though, nor would I know how to level that particular playing field. Maybe everyone donates into a central pot and campaigners all get an equal share of the pot?
In theory those who provide most money can decide the most how is it going to be spent.
In practice I'm assuming taxes provide funds only for a very small part of a country spendings.
It's also a bad idea when you want to make good (as in maximize individual happiness) decisions, since the "10%" who'd end up with 90% of the political power have neither the knowledge nor (in some cases) the interest to help a majority of society.
Even they would actually not have to gain much from controlling spending (except by lowering taxes) as the super-richs' happiness is more or less independent of gov spending: private schools, private jets, private healthcare.
Oh, it's also a completely stupid & undemocratic idea, which led to my glib initial criticism.