dna sequencing - What evidence is there that common PCR DNA purification kits can isolate DNA from pathogens engulfed in macrophages?

I have previously asked a more general question about how PCR sequencing reaches all possible DNA targets here. I want to ask more specifically now: what evidence is there that common PCR DNA purification kits can isolate DNA from pathogens engulfed in macrophages?

Specifically what such a KIT would have to achieve is to destroy the double lipid cell membrane of a macrophage and destroy the cell walls of engulfed bacteria or fungi. (The latter of which even contain chitin)

I am looking for as specific evidence as possible proving that if one takes a whole blood sample and employs a purification KIT, any microorganism's DNA engulfed in a macrophage should be isolated. Please allow me to say that I am looking for evidence beyond just the manufacturers specifications. I would like to find publications, book chapters or other written statements that specifically show and discuss how isolation techniques work on the barriers I mentioned or even better how they work on intra-cellular micro organisms. Thank you!