That's a question you have to answer yourself. Right now, Duck Duck Go is the only search service I've ever heard of even trying to make that promise.
As an aside, there are a couple issues with companies and reputation. First is that a company might risk its reputation if the rewards are worth it. Second is that a company might care about its reputation but simply fail to hold true to it. Finally, a company might care about its reputation some of its employees might not.