Pineapples got a few words for their offshoots. I'd guess because it's a commercial fruit. I've never seen this terminology applied to offshoots/sets for other bromeliads. Other bromeliad species also send out pups from different parts of the plants. There's some tillandsias and orthophytums that make offshoots from the flowering stalk. Here's a nice diagram of pineapple offshoots and their labels