[Boehner] said conditions on higher taxes would include a revamped tax code to make it cleaner and fairer, fewer loopholes and lower rates for all.
So it sounds to me like higher taxes are definitely a part of the Boehner plan - and "fairness" is in the eye of the beholder.
I wish they'd get a new speaker. I think even De Mint would be better, although I'm not sure they can change or, if so, when.
In your own quote the Speaker is talking about lower rates for all.