This reminds me of line in Scott Adam's book. Someone carried an ice cube around the office and if he was threatened to be stuck in idiotic conversation or pulled into a meeting- he'd say have to go- this ice is melting. No one ever questioned the utility of carrying an ice cube around.
In a previous life, I worked at a large campus of buildings that had long hallways connecting them all, which were multiple business divisions of the Big *cough* Blue entity occupying this mess.
If you were a under-utilized Staff-Something you could scoop up your planner/files/project binders and go on a nice long trek to the far flung break rooms that were outside your particular part of the campus, thus cloaking ones self effectively.
If noticed walking, you were going/coming back from an unverifiable meeting outside your division. If noticed in said break room, you were going over notes which were ALWAYS open before you.
Worked great with a hands-off PHB, not so good with a Tiger-Climber PHB. Also not good if you temporarily had a rival eager to expose you, but not often the case.
At worst, you were not a Go-To person for a non-crisis, At best, you were thought of as a Magnificent Creature. Perfect!
I eventually left and did way more interesting and ambitious things, but a fun time recalled.
I learned a lot of useful skills in the military, but 'walking with a sense of purpose' was definitely one of the best. In an office environment, it may only save you a matter of seconds per day, but it makes you LOOK like you're infinitely more productive.