No offense, but it literally sounds like you don't even follow
DOOM lore. But, "Essense Manipulation" in DOOM literally is a lot of OP stuff. While it is by no means anything compared to SMT's Cognitive Physiology, it's still Conceptual Manipulation Type 2 + Soul + Mind Manipulation + a whole bunch of other things. Like there are literally a lot of things added there.
More importantly, "Essence" does NOT mean same thing in Halo as it does in DOOM. Just because verses use common terminologies doesn't mean it's the same thing for every verse. DOOM got an entire blog explaining exactly what Essence is based on in game lore. In Halo, the word "Essence" is just a generic term for "Someone's memories being stored as digital data" and that's it. There is no soul manipulation or magical ability to erase the very concept of someone's existence in Halo.