tl;dr
Most of your calcs prove pretty much nothing:
Because I have nothing better to do, doing the defensive mons first.
It doesn't matter if I can't guarantee those being dead when using a Choice Scarf Emboar, the prior damage might help my other mons to sweep easier in the game. For the regen mons, physical Emboar is not beating mola without a Band Reckless boosted Wild Charge anyway and the damage on Slowking is actually really important because it allows pretty much any pursuit mon to trap it later in the game. And defensive mons walling a Choice Scarf mon proves nothing because their job is to clean late game or revenge kill, not wallbreaking. And all of the mons you listed here lose to band and/or mixed sets and I'm sure Scarf is not the only reason Emboar was promoted to S when his other sets are pretty good too because every other mon in the S ranks has at least 3 viable and good sets.
Offensive mons:
Escavalier 2hkoes like everything we know that. Point is emboar forces it out easily which is enough most of the time and if Emboar gets in to revenge kill (this is what should be happening and none of this Switching directly on Escavalier attacks bullshit when Return can be a safe move to spam). Does Choice Scarf Terrakion being ohkoed by Volcarona at +1 with sun and lo boosted fire blast or taking like 60% from a +0 giga drain out of sand make it a bad check to the moth? No. Same thing applies here.
Bringing Emboar against durant when you can't guarantee revenge killing it is a bad idea unless you somehow know that Durant will miss that turn(it probably will).
^ Same for Absol except for the miss part unless Sucker Punch crit or it is at +2.
How is emboar a shaky check to Sub 3 Attacks Sceptile when i basically force sub 3 attacks to use the unreliable as hell Focus Blast and both of Emboar's stab moves ohko if it doesn't have a sub(this is not that hard in practice). Oh no a 140 bp stab move holding choice specs can 2hko a mon that resists with no investment in its defenses! Seriously this one is probably the worst of the calcs you posted and Focus Blast is still unreliable as hell for this as Sceptile will get forced out most of the time and it wont kill emboar. And the overgrow Leaf Storm is rarely if ever happening in actual battle. Acrobatics ohkoes the pig? Not a big deal because switching on a Sceptile blindly when you don't know its full set is a terrible idea, and if i see it had Acrobatics, i will just use say a Druddigon to take care of that and save the pig for other threats/to clean late game, unboosted SD Sceptile isn't that powerful, and if sceptile tries to dance before using acro emboar will simply outspeed and OHKO.
The Lilligant's calcs are almost as bad as the Sceptile's ones. This is a real scenario and not SEE GUYS IT 2HKOES EASILY NOT A GOOD CHECK:
Lilligant uses sleep powder
Emboar switches in to absorb it/it misses.
If Sleep powder hits:
Lilli has two options: Quiver Dance and hope Sleep talk picks Wild charge or it just switches out because Emboar has a 66% of ohkoing it.
If Sleep Powder misses:
Lilligant is forced out
Lilligant is at +1 and another mon is sleeping:
Lilligant uses whatever and it fails to ohkoes Emboar while Emboar ohkoes easily. And this is worth it most of the time because Lilli should be used late game.
Lilli Quiver dance as Emboar comes in:
Needs to outpredict the opponent and this can end either way so not bothering with this, but Emboar still has superior chances of winning here.
If Lilligant is at +2, depending on its hidden power, only Roselia, Ferroseed, or Amoonguss will be able to save you so that is not Emboar's fault. Idk how you can say Emboar is a poor Lilligant check when she only wins when Sleep Talk picks Wild charge twice lol.
TL;DR: A Choice Scarf mon should not be taking hits at all and it getting defeated by defensive mons mean nothing because those are not the pokemon it should be targeting. What Scarf Emboar should be doing is revenge killing and cleaning stuff late game, which it does excellently.
For the CB and mixed set comment: I don't see why Emboar speed and typing are a problem when they are similar to Nidoqueen's(RIP everyone misses you) and most defensive mons are slower unless the invest a lot in speed which is not really a good idea because the loss of bulk is really noticable sometimes. And except for maybe Magmortar and Moltres (and moltres has to worry about Hurricane's accuracy), all the mons you listed are way easier to beat than Emboar when playing with slower teams.
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