I graduated with a B.S. in Structural Engineering and worked in the aerospace industry for awhile before deciding to go to vet school. I start in the fall, so I don't know exactly what it will entail, but from what I can see and have found, a bachelor's degree in engineering without having worked for an extensive period of time in the industry or considering further education, is useful, but most likely won't make a huge difference in your career. I believe your ability to apply your engineering background to your veterinary career will ultimately depend on your competency and experience as an engineer before entering vet school.
I've realized that as a vet with an engineering background you can definitely collaborate with design teams on device design or prosthetic design, but in the end, the true engineering will come from the true engineers. If design/analysis is one's calling, it would suit one better to specialize in an engineering field. Ultimately, someone who is more studied in this field will be more qualified. My bachelor's degree and year and a half of experience will hardly qualify me to head up a design team for a medical device, but it will allow me to be a vet who understands how a device is being designed and be more likely to be involved in such projects (as a vet). I somewhat agree with Dr. Knecht, in the sense that a DVM will do little to further an engineering degree. If you aren't already an accomplished, extremely knowledgeable engineer, you certainly won't be after veterinary school.
I know I've ranted a bit here, but it is something that I too considered for a long time. Ultimately, I am glad that I have a degree in engineering; It definitely doesn't hurt. If I get a chance to work on a veterinary related engineering project one day, I'll be excited, but I'm not going into the profession assuming that I will. You might consider it with that mindset.