Versus Battle: The Dragonborn vs. The Inquisitor

Inquisitor because I like him better.

There's no definitive winner, they are from different universes. The rules of the lore and the gameplay mechanics (abilities, strength, skills, etc.) aren't similar. Selecting a winner would only be speculation.

The Dragonborn possess the Ethereal shout to counter the rift.

The Lone Wanderer. VATS for days.

They need to do a better job designing elves in the new one. I could never finish DAI with an Elf due to how frail they looked. Always found myself starting over with a human or dwarf.

Yep, even little wood elves look like they can at least fight. Even DAO
I could play as an elven rogue and it seemed convincing (at least with the males, the female elves still looked frail though not as bad as DAI)

It wouldn't matter anyway, the end result will be the same: DB kills the Inquisitor.

(This is a demi god we're talking about here Vs a mortal with a magical mark on their hand, a mark that'll kill them at any point).

Good point. Besides there modders that can recreate combat design from scratch. With those combat abilities, the Inquisitor would have to put up one hell of a fight.

It's 2022 and this is still happening 

The main thing that pops in my head is the Cauthrien fight.

Generally, the protag you're roleplaying in a video game progress the story by killing every enemies he's facing and when he dies, he just respawns to fight the same enemy(ies) to keep progressing in the story. When the Warden fights Cauthrien, it's a fight that the protag isn't supposed to win (he gets knocked out and ends up in jail). The fact that there's a possibility where the Warden can end up beating her and break the story, makes him better/stronger/insert another adjective than the general protagonist like the Dragonborn, Hawke, the Inquisitor, etc. (in my perspective anyway).

Plus, winning against an npc that could have solo the Blight is nothing to scoff at.

Beating a run of the mill soldier is nothing to brag about. You are confusing game mechanics with lore. The Warden does have an impressive resume but they are still no different than any of the other schmucks that survived the joining. The DB and the inquisitor have access to other worldly abilities and take on other worldly foes.