The entire camera matters debarcle is entirely a subjective debate, and that's that.
In most cases, the camera doesn't matter...at all...
Photographs are made for people to view, and 99% of people don't know anything about photography, photographs or even cameras.
They know what they like, and that's all.
Studying art and photography is studying the aesthetic aspect of imagery so you know HOW to create an image that is pleasing to the eye of the average person. That is why artists / photographers are employed in the first place, because they know what to do to make an image that someone likes.
For the end consumer, 99% of the time, the gear does not matter. They just care whether the picture is aesthetically appealing or not.
When a photographer examines their own or other's photographs, then the camera matters to an extent, as they understand the technicality of creating the photo, and are able to critique what could have been done BETTER by their own opinion, even if the average viewer could find little to critique. However, even in this circumstance, it is not so much a problem with the camera gear, but the choices made by the photographer, and what could have been changed to optimize the photo technically.
I've seen photos in professional prints that are noisy, badly composed, but you know what? They captured the moment and fulfilled their employment contract.
You can say that you can't acheive the same image as an oil painting with crayons. However that is not the point, nor even the issue that is being debated. You can create a visually appealing image with oil paint OR crayon. Creating the SAME image in oil paint or crayons will give a different outcome, however whether someone thinks one is better than the other is entirely a point of personal opinion.
In most situations, the person viewing the photographer is not privvy to the knowledge of the possibilities, or privvy to the benefit of a comparison, only what is in front of them.
It seems that gear isn't the problem, or isn't the issue that matters or not, it is convenience. You can get well lit photographs for a wedding in a dimly lit church without the latest in technology, however it is difficult and requires a lot of effort and as opposed to getting 300 shots for that moment, you might only present 30.
People seem to want to take the best possible image the easiest possible way. Which is understandable. Sure, I want a d700 with some good glass so that I don't have to worry about lighting as much, or depth of field so much. But at the end of the day, if I am any kind of photographer, I SHOULD be able to take the photo that is required, albeit with considerably more effort.
In summation:
Whether the camera matters or not, is completely up to the person viewing the photograph.
For the photographer, what matters is using anything and everything you can to photograph what you want to present to the person who is inevitably going to view the photo.
The camera doesn't matter, the photograph matters. Whatever is necessary to create the photograph is nothing more than due process.