Considering the billions of images available and presented to viewers, the idea about what camera and process is never even considered except in a few forums. The public at large could care less, and most images are seen for second before people move onto to something else. There is a smaller group of people who are interested in photography enough to pay attention to what makes a compelling image and which photographers they like, but most of them also do not consider the process. A very small subset of those people do wonder about what equipment and process was used, but its hard to say that to those few what is more important - the end result or the process. There seems to be a group of "technologists" who do spend a lot more interest and time in the process than the final image, and that group is very well represented here on LuLa, but it would be a mistake to think the rest of the world is similar.
I jury a photo contest which awards cameras and cash to the winners, and as much as I enjoy technology and gear that never factors into my decision on the winners and runners up. In the end what matters most to me and my fellow jurors is the final image, the idea. The technique or execution only comes into play when it's not well done and even then a better idea, or simply being in the right place and time can win over a better technically executed image. The technique or process has a way of spoiling images when the image becomes more about that than about the subject or idea.
That's all very sound, but I think you can see it in the opposite way. If you only care about the end result and you want that end result highest quality you can become very technical in your shooting process. For example some choose to shoot film, others use multi-shot super-resolution digital. The one that shoots film obviously have chosen an inferior process because of some other non-technical reason.
It also extends into post-processing, if you only care about the result you can do exactly anything to make it a "better" image, but if the process is important to you, you may want some connection to what was happening at the scene.
In a professional assignment I'd guess result is the only thing that matters, it would be for me. When making art photography the process has considerable importance, at least to me. Some shooting techniques makes me more "connected" to the scene, while others disconnect me. I quit using stitching because it made me feel disconnected, but I have used it in an assignment to cover wider angle than I had at hand.
What I find a bit unfortunate is that medium format digital seems to be driven by
result and less by process, and of course why wouldn't it as their target is professional photographers with deadlines... but this means that we won't get 6x6 digital backs, we probably won't get tech cam friendly backs again, instead we're headed towards one standardized way to shoot, and cameras with movements will probably not be a part of that, at least not on the wide end.
I've also noted an interesting thing, many of those claiming to care the least about gear have the most exotic cameras, and not rarely plenty of them. I guess they just like to buy stuff...