For the first part, it's best to go to that particular thread and not here. Although I will argue back and forth that it is by no means "shady" and I take offense to that as it implies we are trying to pull the wool over everyone's eyes, when we have detailed blogs about nearly everything about the franchise that are open for everyone to comment on and read.
"Lilith's immortalities aren't hard to get around. Even Type 8 is easy, LoP can just mindhax all humans or rewrite the laws for some time. "
It isn't just humans, Digimon as well. And there are High 2-A Digimon with the exact same resistance. Not to mention that there is also her powers over Lust as well. Also, her Immortality is based upon True Lilithmon. Someone whose infinitely superior to even the strongest of Lilithmon avatars (Hence the At least High 2-A rating). This is an old blog, but still pretty relevant.
https://vsbattles.fandom.com/wiki/U...chise:_Explaining_the_Seven_Great_Demon_Lords
This is important as well.
https://vsbattles.fandom.com/wiki/U...se:_Dark_Area_and_the_Seven_Great_Demon_Lords
"Law Manipulation also happens to be a viable win condition. Rewriting the laws of the world would allow her to essentially create a win condition, since she did exactly that against Vecna. "
The SGDL can also bypass laws. For example, there is literally a law made by Yggdrasil that no one can ever leave the Dark Area no matter what. The SGDL bypass can easily bypass this. This is mentioned in this blog.
https://vsbattles.fandom.com/wiki/U...:_When_a_Bit_of_Philosophy_Reveals_New_Truths
"EE might actually work, since in this case the EE rewrites reality with no trace of you existing. Not even your name can be remembered. Lilith seems to only be physically nonexistent, which means they have no physical form. That's a pretty weak version of a haxed power."
That's not going to help as she has resisted the likes of Particle Worm/Program X that can also flat out erase fellow Abstract and Conceptual Entities. Beelzemon, another of the SGDL had to literally get ahold of the X-Antibody to survive it. Erasing her across space and time also requires her to bypass True Lilithmon, a being who is infinitely above baseline High 2-A. And I haven't even touched Karma yet. There is also the fact that Lilithmon and the other SGDL are completely unharmed by
Omegamo's All Delete in which erased the entire Digimon Multiverse.
"Concept Manip in this case allows Lady to just alter the concept Lilith embodies, the sin of Lust."
I mean, Lilithmon blatantly resisted getting her concept attacked directly by Boltboutamon, so I don't see this working.
What Lilithmon has.
-Lady of Pain's Immortality and Regen are useless as Lilithmon bypasses them. This is the same for any resurrection.
-Lilithmon can easily just inflict her with the Sin of Lust that's powered by her True form and make LoP into a new Lilithmon.
-She can just flat out absorb LoP and make it so that she becomes a mere aspect of the SGDL.
-If LoP does kill her, she will have to deal with Karma from the True SGDL. It's not just Lilithmon, but all of them including
Lucemo. This is basically a result of you destroying a multiversal constant. Even at the lowest end, this still comes from True Lilithmon.
Basically Karma can really range from anything, but basically you just...disappear as shown with Dianamon. To negate Karma, an outside source has to defeat another set of SGDL to save you. And even then, they themselves will be subject to Karma. Even so much as facing a member of the SGDL is considered a sin and subject to Karma.

Of course killing a member of the SGDL in one world grants them strength in every other world.

-There is also the fact that Phantom Pain is also a skill that she has.
| Its Special Move is rotting the opponent's body with a sigh of darkness. It is said that if one is struck by this curse, their data dissipates from the tips of their body and they suffer pain even in death. |
A friendly reminder that Lilithmon can bypass all of LoP's from of regen and resurrection and can absorb her. And before you ask, yes Lilithmon can indeed absorb other abstract and Conceptual beings just like all the other SGDL can. And when she absorbs someone, she gains all their abilities. I should also note that the SGDL are also resistance to their own Karma. It is shown in Digimon World: Re: Digitize that the SGDL has to grant the main protagonist their power for him to fight
Daemo, otherwise he would have been subject to Karma.
-Can turn those resistances into weaknesses with a simple motion.
Once again, I will be gone from the site for a bit, I may stop by every now and then, but I am busy with irl things and preparing the Soul Calibur Vl Revisions.