Air Purifiers

Is there a vacuum out there it is a certified air purifier? I recently learned that vacuums blow out dust, even ones with expensive hepa filters leak some form of bacteria into the air.

I’m looking for facts only, not opinions. Sources preferred.
If you take a high power flashlight and shine it at the exhaust, you can see dust coming out. Even on the new dysons, orecks and kirbys.

I recently purchased a Holmes Harmony Air Purifier and I am not sure if its working correctly. It doesn't make any sound and it also doesn't blow out air strong enough for me to feel. Although the power light is on. Is this how air purifiers are supposed to work?