You have an air purifier in your kid's room. If this is a fairly large apartment or a house, and you have central air running, how much purer is the air in that room? If your central air system is modern and continuously circulates air throughout the house at a low fan speed, you're effectively trying to purify your whole house with that low-output room-sized HEPA filter. Have you done measurements to see if it does anything?

There are ton of variables here. One is where the return air intake is. My house only has a single return air vent in the hallway on a 10' ceiling (the furnace is directly above that in the attic). I think this is not-uncommon in the western US.

I have a room-sized purifier in each room on the floor, and they accumulate considerable dust. What I don't know is how much of that would have been successfully pulled out into the hallway, if I didn't have the vacuum of the purifier.

This is impossible for me to A/B test meaningfully given all the environmental variables - wind (house isn't airtight, wind pushes into leaks harder), wind direction (wind from the desert brings sand and other small particles), humidity, etc.

If anyone has reading material on properly controlled experiments in this regard it'd be really interesting to see. I honestly don't know if they're more effective than disabling them and allowing the central HVAC a chance to pick it up sans airflow-tug-of-war. My hunch is it's not worse, though I have no expertise here.

Long-winded post but I'll close with an anecdote: when we had those wildfires in the Bay Area back during covid, they were absolutely more effective at getting the soot and smell out of all of our rooms than the status quo.

edit: One thing to be aware of if someone is evaluating these, all of the claimed numbers from manufacturers are based on you running the air purifier on the absolute highest speed it offers. Almost no one actually does this in on these consumer grade freestanding ones, especially in bedrooms, because they're quite loud.