Should you give your boss a birthday present?

So my husband asked on Facebook, crowd-sourcing what should have been an easy question.
"Nope," I said. "That's weird."
But there's more to the story.
David's fairly new to his job, and last week a coworker came in and whispered, "Next week it's Nora's birthday, and everybody kind of brings her a gift."
David thanked him for the heads-up, and after conferring with his skeptical wife, bought a box of snazzy candy, which he dutifully left on Nora's (the Big Boss) desk the next day.

Where it sat.

All alone.

Nora did not come in to work.

No one else left a gift on her desk.

Now, as his unease grew, David began reflecting on the nature of the coworker who offered advice. This is the coworker that he used to refer to as "Asperger's guy" when he couldn't remember his name. Suddenly, David recalled other "jokes" from this fellow - which weren't funny at all.

He sneaked into the office and stole the gift back, and stuffed it in his drawer.
But then? Then the next day, Nora's desk was piled with cactuses, bottles of wine, gift cards, and cheap jewelry.

IT REALLY WAS A THING. So David added his chocolate to the pile, and got a lengthy and charmed thank you note in return.So in answer to my question, no, you should not give your boss a birthday present. Unless everyone else is doing it.