They would rather the government does stuff because it tends to be cheaper and better run than when private companies get involved.
Only in the long run and not for everything.
What it is much more is letting corporations do things, but within very strict rules. Most of the time to encourage competition in the way it was intended : lower prices for the consumer.
What they do is often change the demands for companies e.g. longer service periods or one single cell phone charger connection.
I believe this is becvause there is also more competition in politics (multi party system). This makes it much harder for the companies to buy parties, because there will be some that won't be baught and will start making things difficult for those who would like that money.
More than one has a smal party with a single goal changed course of politics. This only works if the idea is big enough with the general polulation. So no highjacking of the big parties by the little ones.