This guy clearly doesn't have a clue as to what makes a great business school. The most important factors are the quality of students, the alumni, and the jobs available to each.
The students are tops at Stanford hands down. Dual admitted students tend to split evenly between the two schools, but because of the small class size these cream of the crop admits make up a much larger proportion of the Stanford class than the HBS class (~25% vs. 10%). Additionally, there is considerable self-selection in the Stanford applicant pool given the far heavier admissions standards.
The alumni quality needs to be split out into quantity, quality, and access. HBS wins on quantity, obviously. But Stanford wins on quality (function of students who go on to be professionals). And what I mean by that is that the average Stanford grad is more successful and influential in business. And I am not talking about outliers like Steve Balmer, Phil Knight, Charles Schwab, Mitt Romney, Michael Bloomberg, or George Bush. I'm talking about the average alumni that YOU will want to network with. As far as access goes Stanford is the easy winner.
Jobs available edge goes to Stanford where they benefit from a stronger BUSINESS brand, and much less competition for jobs. Need proof - go ask someone at Stanford how easy it is to get a job from Goldman Sachs or Morgan Stanley, or McKinsey, Bain or BCG. Then ask the people at HBS.