When Ingram betrays you and busts out the R-Gun Rivale, you were forced actually properly organise your formations before dealing with him within a single turn rather than just going Leeroy Jenkins like before. Given that the Final Boss and True Final Boss pretty much operates just like him but with even higher HP, it hits you. He isn't just a Stealth Mentor for the characters, he is one for the player as well to prepare them for dealing final bosses in the future!
The "Octo Squad" has a Meaningful Name (at least by the time the Second Original Generation occurs): the squad's Humongous Mecha all use some form of Dual Wielding or Guns Akimbo - dual Plasma Stakes (Gespenst MK II M Custom Type-G), dual Plasma Cannons (Gespenst MK II M Custom Type-C), a pair of Blade Railguns (Siegerlion) and a pair of Seize Anchors (Giganscudo Duro). Four machines, armed with a weapon on each hand: in other words, "eight arms".
The episode subtitle for the Second Original Generation is "Gaia Saviour": at one point in the game, Arteil Steinbeck declares the "Gaia Sabers" will be the ones who will save the Earth. For all intent and purposes, it seems the Gaia Sabers are whom "Gaia Saviour" is a reference to, except "saber" is explicitly spelt differently than "saviour" for the in-game text (in English, no less). It becomes clear that "Gaia Saviour" is not referring to the Gaia Sabers, but to those who can save Earth the best. Is it the Gaia Sabers? No; the "Garden of Baral"? No; it's the "Steel Dragon Battle Group", who are specifically selected by Irui Gan Eden during the finale of the Second Original Generation.
This is reinforced with the Gespenst Haken in The Moon Dwellers: it's explicitly stated the machine uses the same Swiss Army Gun that Haken uses, perfect for him as The Gunslinger, whereas Kaguya, Suzuka, Neige and Aledy wouldn't know how to effectively use it in accordance to their abilities. As for Aschen, who becomes the Gespenst's permanent sub-pilot, she can easily fulfill the unit's secondary functions logistically and analytically via combat data, perfect for an Artificial Human such as her.
In Original Generation Gaiden, the whole ODE Incident as well as Lamia's tenure as a Badass in Distressmight seem a little pointless since it didn't really contribute to the rest of the story and at least in Gaiden, Lamia took everything with a stride, thus it looked like she learnt nothing from the experience. So it might be tempting to pretend it never happened and irrelevant and maybe if that event was removed or modified so she's not involved, all's fine and dandy... right?note There's always the chance that without Lamia, the ODE System saw no need to graft any of its captives as its main core, not even a Psychodriver like Kusuha (who's most certainly doomed if she gets into it), and went to find more human resources instead until it finds one that fits, while the rest of the Terra Federation could use the time to strike back, rescue everyone without any casualties. As more games are released, turns out it was more important and cannot be removed otherwise a big case of For Want of a Nail can happen and affect the OG-verse not in the ways you expected:
Without Lamia being a victim of ODE Incident, then Axel will not see the need to re-use Code: DTD, registering it in his mind. As a result, when he got thrown into Endless Frontier, he might not remember how to use Code: DTD in time (since it's not fresh enough in pre-amnesiac his mind) and therefore dooming Aschen when Pete Pain told her to blow up. Considering how Haken grew up together (and raised by Aschen), this may damage his mind, and he might not come out as the same lovable guy he was before (or just hiding it). And then...
Without Aschen, Sanger will be stuck in the Endless Frontier after he was done in the events of Project X Zone or his attempt to go back didn't go as it happened in The Moon Dwellers, since it was Aschen's accidental interference that set them to land right next to Kurogane and act like Big Damn Heroes against Debudedabide, which may result Elzam/Ratsel getting KIA instead. And without any of the two... the upcoming war against Balmar might take turn for worse...
So... basically, it was overall a Necessary Fail for Lamia. If she avoided being the main victim of ODE Incident, the future of the Terra Federation may take a negative turn later down the road.
Scenario 27 of Original Generation 2 sees our heroes trying once again to rescue Seolla and Ouka from the clutches of the School. When Latooni and Ouka fight, Ouka comments, "You're so stubborn. That's what makes you so cute." Just your average Les Yay battle banter... And then you remember that Ouka's being brainwashed by Agilla Setme and suddenly all these horrible visions start pouring into your brain.
May also have to do with Ouka's views of Latooni distorted due to the suggestion and brainwashing as a side effect, Ouka does care for her fellow friends who survived the School before. Latooni, Arado, and Seolla were all she had to consider as a family aside from a large supercomputer.
At the ending of the "The Inspector" Anime when Beowulf appears, everyone shrug off his presence there as nonsense and get back into the fighitng. The thing is, when you think about what he was shown doing in the first episode, plus the strange einst units he bring along (who all look like some mechs of the good guys...) paint a very bleak image of what Kyosuke's corrupted alterego was up to between his two appearances.