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^^ Common misconception. They do avoid the sticky bits so that they don't screw up the adhesive or have to deal with the slight stickyness they do experience- sort of like how you avoid touching the sticky side of tape. They could, however, walk on the sticky parts all they wanted to. The feet of spiders are covered with cilia that interfere with adhesion, and they additionally excrete a chemical that makes them chemically inert (like a non-stick frying pan). Male spiders generally court the female on her web, there are species of spider that exploit the fact that they can walk on webs to prey on other spiders, and under certain circumstances spiders will even build huge, elaborate communal webs. So yes, its entirely reasonable to say that a real life spider could plausibly navigate a giant 1 meter cubic web that wasn't his. (On a side note, thats about the size of the webs the daddy-long-legs on my porch spin, and those live semi-communally.)
Edited by Scorpion451

Spiders can go through webs quickly, but nothing else can?