Who will receive God's "greater judgment" - and why? The following excerpt gives us just a hint of the complete and "thoroughly Biblical" answers found in this concise "pamphlet":
Both the "fire" and the "Day" that Paul mentions in I Cor. 3 are identical to those mentioned in Rev. 20:10-15. Notice that this time I started this reference with v.10, which refers to Satan - before casting him into the Lake of Fire - as the "Slanderer" who led others astray. Casting him into the Lake of Fire will be the only way to stop him from continuing to slander God and mislead people. The remaining verses in this reference likewise pertain to those whose slandering and misleading teaching must also likewise be stopped.
As to what that "greater judgment" entails:
It is a good thing for these teachers that one of the weakest argumentations for Eternal Conscious Torment is based on erroneously using words (both Hebrew and Greek) translated as "forever" or "everlasting" to mean "unending" when referring to God's judgment, thus making it a matter of merciless retribution rather than merciful remediation. Reading these words in context throughout Scripture reveals that as a rule they mean a limited duration, even as what they refer to lasts only as long as needed; for example, the three days and three nights needed for Jonah to repent is said to have lasted "forever" (Jonah 2:6). The only exception is when these words refer directly to God or, since God is love, His mercy; this exception therefore excludes the remediation that false teachers will need to experience, which will last only as long as necessary - to give them time to repent.
The reader will also learn how this is relevant to us today: only by returning to true Christianity, in all its original mysticism and transcendence, can we learn again to love God as well as our neighbors - including our (political) enemies.