When War Touches the Island’s Shores does Damage in a land where Rising Heat of Stone and Sand has exactly 2 Presence, can you take advantage of the Health penalty from Blistering Heat to Destroy Invaders?

When War Touches the Island’s Shores does Damage in a land where Rising Heat of Stone and Sand has exactly 2 Presence, can you take advantage of the Health penalty from Blistering Heat to Destroy Invaders?

Yes. There is no point at which Rising Heat's Presence has already been destroyed by the Blight, but Invaders haven't yet been checked for taking enough Damage to destroy them.
This also applies to Far-Off Wars Touch the Island against Durable Invaders.