Everything I've read about Trichoderma being used against Fusarium and Verticillium says the the results showed inhibition of the pathogen and significantly greater plant health and yields. That doesn't mean that they kill the pathogens off completely, I would think it would take a concerted effort on a number of fronts over time to select against the bad fungi in a big way.
Trichoderma virens is another species that is used as a control against Fusarium.
Soilgard by Certis is all Trichoderma virens.
Other species of Trichoderma like Trichoderma viride and Trichoderma koningii also have shown positive results against Fusarium. Both of those are in Biotamax as well as Trichoderma harzianum and Trichoderma polysporum.
I've also read that the best method is to inoculate well before transplant, as early as planting the seeds so that the Trichoderma are well established around the roots as a shield against pathogenic fungi.