Drywall – Do these insulation panels contain asbestos

I would get an 2nd opinion report. And then based upon that report make a decision on whether to move or not. A report that conflicts with the one that the landlord contracted for should be strong grounds to get you out of any lease.

The HEPA spec doesn't describe "0.3 microns or larger". It just states "0.3 microns". The explanation I've always read (for example, here) is that 0.3 microns is the most difficult to capture, so you can expect the filter to be more efficient with larger or smaller particles. Larger particles are captured mechanically, and smaller particles are captured electrostatically. I'm not sure what the lower limit for particle capture is, though--obviously these filters don't capture individual molecules, so there must be some point at which a particle is too small. I don't know what that would be.

Would I do it? Not without training and a professional fit test to prove that no air is getting in around the edges of the filter.