Hair goes down the drain. That is the whole problem. Every shower, every pet wash, strands of hair travel with the water and settle inside the pipe. Over months they tangle with soap scum, form a plug, and the drain slows or stops.
A floor drain hair catcher is a small filter that sits over or inside the drain opening. Water passes through. Hair does not. Simple enough that you might wonder if it is worth the money.
In a shower area, it is. Shower drains handle more hair than any other drain in a building. Long hair is the worst. It wraps around pipe joints and catches on rough walls, building up faster than you would think. A catcher stops most of it before it enters the system. Lift it out, peel off the hair, drop it back. Thirty seconds versus a plumber's visit.
What the catcher is made of matters as much as using one. Plastic catchers are cheap but do not last. Heat warps them, the mesh tears, the frame cracks where it flexes against the drain edge. A stainless steel or brass catcher costs more up front but holds its shape for years. Metal does not absorb odors the way plastic does.
So yes, you need one, if the drain is in a shower. Choose metal over plastic and clean it now and then. That is the whole job.