The area where these shots were taken is full of opportunities for great composition, geometric and beautiful, even even iconic to route 66 fans.
What's sad about these shots from Shore is that it looks to me like the only real effort he made was to take his instamatic with him when he got out of the car to stretch his legs during a gas stop.
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This is exactly the problem with 1) looking at these images on the web, particularly at the OP's link and 2) looking at them out of context.
As for 1), You might get the book, Uncommon Places, and you'll realize that the link of the OP has some horrible scans that make perfectly toned, exquisitely detailed photos, taken with an 8x10 camera, look like they were taken with an Instamatic. Shore worked long and hard on putting these photos together in a landscape that was normal, real and uninviting.
Now these are perfect/exquisite photos of some pretty quotidian scenes. And that's point 2: Your observation that Route 66 "fans" would be able to find geometric, beautiful compositions in the same place misses the point that this is exactly the kind of cliche'd "pleasing picture" Shore was out to destroy, as others have noted. The geometry he did discover and that you will discover also if you will look at these photos IN A BOOK with an OPEN MIND, is the geometry of the real, as opposed to the pleasing, unreal geometry of an Ansel Adams.
Which you prefer is up to you, but you don't get to call something bad art out of ignorance and takin a quick look on the web.
And I totally agree with the recommendations of Jeff Curto's photo history course and Jeff Dyers' Ongoing Moment. You might also look at some of the artists mentioned in other posts in this very interesting thread and decide to give yourself a chance to learn.