Elemental Damage Auras and Spell Damage Passives/Boosts

In order to clear up some personal confusion, could anyone verify/disprove if Spell Damage increases from gear and passives apply to the damage output of Anger/Wrath/Hatred?

My gut feeling is that Spell Damage does NOT apply to auras, but the "Spell" flag on the aura gems creates some minor confusion, resulting in this post.

these auras add damage to your attacks only

they have a "spell" tag because they are being "cast" using your cast speed

Directly to it - no. It's directly increased only by aura effect nodes.

Bonus damage it provides is the same as any other bonus damage, if it applies on weapon attacks, it will be affected by wed or projectile damage, if it's on spells then spell damage will affect it. You can see that behavior on added damage gems.

However, auras don't apply bonus damage to spells, so it will never happen.

With the sole exception of hatred and EK, that's currently the only case where spell damage affects bonus damage from an aura. It would work on detonate dead, bear trap and shockwave totem too, if they did spell damage.

So, the gut feeling was correct. Thank you for the input.