This why the Death of Superman Becomes problematic without this piece of Superlore, it's a necessary element to the story or Superman's Resurrection doesn't work. You need also need The Cyborg Superman, The Eradicator and Mae herself to pull it all off.
You need the Eradicator to Steal Clark's Body to place it in the Birthing Matrix to Recharge himself leading to his reanimation, You also need the Eradicator to get shield Superman from From Henshaw's Kryptonite Blast with instantly
recharges Clark to Full strength.
You need Mea to Pretend to be Clark for an extended period of Time for medical reasons, Hell even Henshaw needs the Matrix to fuse Clark's DNA into himself to create the Cyborg Superman and fool scanners. No Cyborg Superman no Destroyed Coast City, No Destroyed Coast City no Zero Hour and so on.
By losing The Kryptonian Birthing Matrix you practically gutted the Story of Death of Superman. But to have the Birthing Matrix in play means Kal-El can't be born on Krypton. It's a Catch Twenty two for anyone who wants to tell a new Superman origin and keep everything in continuity.