I think this kind of tool use is just evolutionarily developed instinctive behavior. It's not much of an extension of the nearly universal bird behavior of gathering sticks to build a nest. A spider weaves an amazingly symetrical, evenly spaced orb web. That takes a lot of manual dexterity, awareness of distances, where good anchor points are, etc. But a spider has no intelligence.
We do things because they please us, and avoid things because they displease us. That pleasure and displeasure is the expression of our intrinsic nature. Is it possible that instinctive behaviors in animals, rather than being robotic motions, are the result of a similar pleasure drive? Is it possible that the spider has an aesthetic sensibility with regard to web building, much like we have with art?