Now that you say something I had to look for it. I don't care what the author of the article is attempting to portray, tax breaks and subsidies are two different animals. If the oil companies are taking advantage of more tax breaks then other industries then the problem is in the tax code and that's what needs to be changed.
I might call it a subsidy, you might call it a tax break, he might call it a duck...does it matter?
Reading up on it, it is not all the tax code at issue - many 'ducks' are targetted at the oil industry.