Do our clients appreciate the value of great design...and how relevant it is to their brand?

I was intrigued the other day when reading about a designer who posed the question to other designers...how do we fit in as designers within the business-art spectrum?
The majority of designers would say they fit in the middle probably. Hoping that their great design prevails, but compromising on a  few requests when their client asks for changes, (with good reason of course, as they see it!).  The question was posed in their article... great ART or great BUSINESS?

I thought about this question from my point of view, but I now wanted to position this with a different point of view, my clients.  Also I could ask the hypothetical business owner, the corporate project manager or vp, the non-profit director, or the attorney from her professional practice...
Do you appreciate the design behind the marketing campaign, the message sent to visually identify with your stakeholders or audience, the innovative solutions for deliverables to be met regarding timeframes and available resources and to what extent do you think this impacts on your brand. Does great design translate into great business results?  I know the answer is a resounding YES, but I would like to hear

 from you specifically and how you see this as relevant to your individual business, service, product or institutional organization. Do you believe great design yields tangible results?