Hi as a QC team we talked a bit ago, and have a list of changes for this analysis:
THE CRUMBLER
########
name: THE CRUMBLER
move 1: Shadow Ball
move 2: Shadow Sneak
move 3: King's Shield
move 4: Pursuit / Iron Head / Sacred Sword
ability: Stance Change
item: Leftovers
nature: Quiet
evs: 244 HP / 252 SpA / 12 Spe
Replace the current Tank set with this. The name change is just a nitpick; this is the set people think of when they think of CRUMBLER, so this is the set that should have said name. Anyways...Shadow Ball is obviously mandatory, as is King's Shield (for this set). The decision to make Shadow Sneak mandatory was because when you use Shadow Ball, Aegis likes to pick things off with Sneak. It's so useful for picking things off in general, that even though it's kinda on the weak side, it is still very much so mandatory. The last slot is simple; Pursuit is a really good move on Aegis, as it is a perfect check to the Latis, and can checkmate them. It's really really good, such to the point where it should be the first slash. Iron Head is a good option because of CM Clefable, which poses a large threat to it, and Fairies in general. Sacred Sword is great for hitting Sharp and actually doing significant damage to Chansey, so it's slashed. It has less application than the other moves on the set in general, so it's slashed last.
Toxic should be mentioned in Moves. It's great when you're up against pretty much any non-immune bulky wall. Unaware Clefable, Chansey, Mandibuzz as it switches in, etc. are good examples of when it's useful.
Mention in Set Details that if you are running Sacred Sword, you should run 16 Atk EVs to guarantee the KO on Tyranitar.
Offensive
########
name: Offensive
move 1: Shadow Ball
move 2: Flash Cannon / Sacred Sword
move 3: Shadow Sneak
move 4: Sacred Sword / King's Shield / Pursuit
ability: Stance Change
item: Life Orb / Spooky Plate
nature: Naive / Hasty
evs: 4 Atk / 252 SpA / 252 Spe
This is what the LO set should be, because it needs the Speed. Notably, it outspeeds Adamant Bisharp and KOes with Sacred Sword., which is extremely notable considering how Bisharp is supposed to counter Aegislash. With a Naive nature and max Speed, it outspeeds all kinds of defensive Pokemon (including Mandibuzz, which is 2HKOed by Flash Cannon). If you need further explanation on the moveset, I can provide it, but it should be pretty intuitive.
The set order should be:
THE CRUMBLER/Tank
SubToxic
Offensive
Rest as-is