The same article mentions:
"Cheney divested himself of all interest in Halliburton, the largest U.S. oilfield services company, after the 2000 election"
Regardless, there are many motivations for this war, not just oil contracts. Talking about oil contracts, the France/Iraq deals (against U.N. resolutions that France supported) indirectly supply Saddam with money that would have funded the weapons that would be dropped on others. I guess as long as France is off the target list then that's alright?