How an air purifier helps
It helps with the part of the problem that stays in the air
A portable air purifier pulls room air through a filter and sends cleaner air back into the room. If it uses proper particle filtration, it can reduce airborne particles that are moving through that space. That is the main reason families use them.
In a nursery or family bedroom, that can mean less airborne dust and fine particulate material staying in circulation. In a living room, it can help when the room gets stuffy from daily use or collects particles from outside air, soft furniture or general family traffic through the home.
The key point is that a purifier works on room air. It is most useful when it runs steadily in the room you care about most. It is not a whole-house solution by default, and it is not a substitute for reducing obvious pollution sources.