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It can.
Earlier this week Scott Chacon of GitHub presented his approach to projects, called Developer Driven Development, in a keynote address at CodeMash 2011. I won't try to explain DDD here, since the details aren't germane to this post.
However, key to DDD is that you must have careful hiring practices, careful to the point that you only hire people that already demonstrate a commitment to the project and possess great knowledge of the domain. (My words, not his, but I think he'd agree.) Hire those that are already involved in the project or in related ones. Clearly, to be already involved in the project before you are hired likely implies you are either involved in an open source project or are an actively involved customer or user of the product, be it open source or commercial.
Can that be applied to Corporate America? Not completely sure, but we can certainly apply some lessons. If your team hasn't already caught the vision, you need to help them catch the vision. This is important on any project, agile or not. But its importance is indirectly proportional to the extent to which you have an effective voice for the business involved with the team. That is, the less that the team understands the business need already, the more that vision casting is needed. The more that the team knows the business need own their own, the less involvement the team needs from "the business".
I've been on at least one team of note in Corporate America that the single voice of the business was successfully shifted to the team. In this case the team sold the business on a need. The team was given the leeway to run with the idea. Each person brought to the project what they thought the project needed. Each person on the team had a voice in prioritization. Anything that was to get done had to have the support of the team. (So, this wasn't a free-for-all to the extent that an open source project would be. Everyone did not go off and build whichever feature they wanted. The team agreed to the iteration's backlog.)
This worked because the team wanted it to. We wanted to keep doing what we were doing. We liked the product, the project, the team. To keep it going we had to demonstrate value to the organization that was paying the bills. So, we listened to those using the product and took their needs and suggestions into consideration.
It worked much like the open source model: I build what I want, what is interesting to me. But motivation is multifaceted. I'd like help from others, so I have to consider their interests. I'd like my product to be useful, to be used. I'd enjoy a little fame or appreciation from others. I'd like enough money out of the project to take money off the table. So if I'm relying on the product to pay the bills or support my multifaceted motivation, then I'm going to listen to my users and supporters.
It's going too far to say that you cannot shift "single voice of the business" to the team. A trusting cross functional team with empowered team members sharing accountability who have the vision can BE the single voice of the business.