This is fanfiction and this imitates how they fought in the mouth of active volcanoes and this is the concept for the climax of Hunyo's arc in the third part of The Strangest Things: Purging of Evil.
This is what Hell looks like in the real world similar to the Fallen Destiny stage but in a much more fiery and dangerous. Instead of the deep storm, it was raining in ashes due to thicker smoke from the lava flames and stronger winds due to sensing their demonic powers. Fiery demonic hands including the Lamia from Drag Me to Hell are present because they had waited their main victim to be dragged by them after a long time of many sacrifices he had taken.
Both Devil Jin and Devil Kazuya can't survive this method of battle because they were humans with Devil Gene according to Hunyo and they might ended up getting burned alive or immediately incinerated to death. On the ground seen in the movie Drag Me to Hell where it can see the entire mantle of the Earth where real fiery demons are dragging Christine Brown to her death by immediate incineration or cremation. And they were the ones who screams within the lava and flames within Patayin sa Sindak si Barbara (Frighten Barbara to Death).
People with angelic powers like Angel or Angel Jin are able to return back to the surface once they slay the demon who finally made up to choose the recipient as their victim who ended up trapped within Hell. Since Hunyo and Jin are able to use synchronization to synchronized both of their minds and I think Angel Jin can do this too.
Hunyo never made a deal with the demon Lamia but letting it open into the depths of Hell so that he will bring the victim to them.
Here are the concepts for the climax in Hunyo's arc during third part.