Once, in a former lfe, I had to compile data and chart indices of something a stupid senior staff guy thought would be good to track. So because he wanted his voice heard in a meeting, I have an extra half day of work a week.
Instead, I took ten minutes to *make up* data out of thin air and present it to management as senior staff guy sat there with a smug *this-was-my-idea* look on his face. I did this for 2 years until personalities left these jobs.
This is very close to the policy in my shop: During our busy season, when someone from sales/marketing/customer service needs something of questionable importance right away we oblige them every time.
That is, provided they sit on a stool in the corner of the shop (no mobile devices allowed) for the entire time their project is being worked on. The rest of the crew are encouraged to imagine the needy corner-dweller wearing a dunce cap.
Actual exchange: "I know this marketing piece should have been done a month ago, but I need it now, can you print 10,000?" "Sure!" "Are you going to make me sit in the corner?" "Yes." "I'll come back later..."
See - you don't need to threaten a concussion. All I ask is that you sit on your butt in the corner while the work you allegedly need right away is done. Those that really need the job done take me up on the corner routine. Those that [gasp] were exaggerating the urgency of their need come back later.