They are different. Most “bugs” people see are insects. Spiders are not insects.

Lots of spiders spins webs. This requires very careful stepping, so you are quite correct, their movements are very calculated. They have to step on a high wire, possibly vertically, while avoiding the sticky parts, getting knocked off, hit by prey, etc

Always wondered why spiders have their own phobia defined. I have probably a mild form of arachnophobia, they just give me creeps especially when moving.

Your comment makes me wonder if it is indeed related to their relative intelligence to other insects.