Just as a paint brush is just a paint brush and its the peson wielding it that has the most infuence on the finished product, then it is with photography.
I doubt most people could tell what camera or lens took what image from just looking at it without being told, but they know if they like it just by looking!
So does knowing the equipment used suddenly devalue or improve our opinion of the image or is it just we feel some form of self validation for our choice of equipment if it turns out to be the same make as we use
I think if you are happy with and like how your equipment handles then this does have a effect on your images as it lets you concentrate on the image taking itself.