They both use shockwaves to smother the fire. Seems like the same mechanism to me, and also a very similar concept.
No clue why you posted that then almost contradicted that line with:
> They both do retard access of oxidizer of course, but then so does nearly every other extinguishing method, starting from fire blankets.
Seems like you just wanted to be disagreeable for the sake of it, but then rolled back your disagreement almost completely one line later.