Hello there,
Melee damage mods do not affect Blade Storm's damage.
Blade Storm benefits greatly from the effects of [Body Count], [Drifting Contact], and [Gladiator Rush]. Instead of having a 3 second delay before the combo counter disappears, the delay will be 3+12+10+6 = 31 seconds. After melee combo "rework" we wont focus on that part, we can raise our combo much quicker now so no need to keep it that long.
Animation speed is not affected by the base weapon's attack speed, Berserker, or casting speed mods (e.g., [Natural Talent]).
Blade Storm can be used to start long melee combo chains to gain additional bonus melee damage.
This synergizes well with builds centered around [Blood Rush], [Weeping Wounds], and Gladiator Mods.
[Fatal Teleport] is a Warframe Augment Mod for [Ash] that causes Teleport to immediately perform a melee finisher upon teleporting to the target, with an additional damage multiplier. Additionally, if the finisher kills its target, 50% of Teleport's energy cost is refunded.
Teleport can trigger Covert Lethality (dagger-exclusive mod), allowing for instant kills. After [Covert Lethality] change we won't need that mod on daggers, unless we want to use that +16.0 Initial Combo. We are not going to use [Fatal Teleport] Augment Mod either, it's pointless now.
Those are infos from wiki, so basically build above is perfect for [Ash]'s Blade Storm build.
Enjoy, THeMooN85