On the other hand, the sword is also not bad (it's a classic) – it's a matter of taste, and if most people want this icon, I don't mind using it.
Regarding moving Vampirism to the Light school, it's a debatable but not crucial issue.
Because, in reality, whether Vampirism is in the Light or Darkness school doesn't really matter – all bonus spells are essentially hybrid, not given in the Mage Guild, and require both developed schools of magic.
That is, in addition to the 4 ordinary schools of magic, we have 6 hybrid ones:
Light + Darkness
3 Grief (Darkness)
4 Vampirism (Light)
Light + Chaos
5 Holy Word (Light)
5 Armageddon (Chaos)
Darkness + Chaos
4 Retribution (Darkness)
4 Freezing (Chaos)
Light + Summoning
3 Regeneration (Light)
4 Hive (Summoning)
Darkness + Summoning
5 Wave of Death (Darkness)
5 Raise Dead (Summoning)
Chaos + Summoning
3 Firestorm (Chaos)
3 Earthquake (Summoning)