As one of those who feels that the image is paramount, I thought I should respond...
For one thing, "Does the process matter?" is an open-ended question, and the "answer" - if there is one answer, depends on the context.
As I said, the process is very important to the person engaged in it - ideally you have (or are learning) a process that you know and love and you can do great things with it. (That said - nobody knows everything, so a degree of open-mindedness is a good thing). I would never recommend to anybody that they arbitrarily abandon a process for which they are so evidently passionate.
However, just because a process is right for you doesn't mean it's right for everybody. Different people are comfortable with different styles of cameras, which entail different styles of working, and different people have different desires for the "end product". A handmade print is only one of many possible results from a photographic exposure.
Just as you want to be respected (or at least left alone to do it your way), other photographers deserve the same consideration. There are so many choices, so many decisions in the process - there is no one "right" way, but I've encountered many smug and judgemental photographers that thought anyone "serious" about photography would, of course, be using, "X" brand of camera and "Y" brand of film - this sort of attitude started long before there was digital to kick around and it has always bothered me.
I think another interesting issue that this question brings up is the idea of whether you see a photograph as an object, perhaps decorative, or something much more - like a communication device for ideas, emotions, thoughts, perceptions, viewpoints, etc. There are those who seem to be comfortable comparing their photos to coffee mugs, coffee tables and figurines. I'm more comfortable with a comparison to the short story, or essay. They can start as pencil on paper, be further developed on a mechanical typewriter and edited on a computer. They can then be printed in newspapers or magazines, anthologized into books - the books can have soft covers or hard, or be printed as handsome leather-bound volumes - but all of that is secondary to the words, the content. Good content will transcend any medium... the medium is not the message.
Lastly, if the image is not paramount, are you saying that the process is? That the image does not matter? That it's all about the process?
Food for thought...