Welcome, nightfarers. What I present here is True Mountain Skip, a direct improvement to the previous Mountain Skip that I have discovered after wandering around in the cold.
This improvement sets two segments for the skip, an initial difficult climb and a 2nd part that is just the old skip. So you can choose the one you want to do, I'll explain both under the name True Mountain Skip.

I hope you enjoy and start using it.

• Any character can perform this skip.
  
• Being level 1 is enough; but you should consider day 2 for this.
  
• Remember the trees and rocks where you start to jump.
  
• Precise positioning on the first segment.

1. Locate the spiritspring that is before small dragon and use it.
   
2. Find the tree and the rock that is behind a bush.
   
3. Jump over the rocks and climb the wall that looks like a staircase.
   
4. Line up with the dent on the slope and climb it, it's the only part you can climb.
   
5. Align yourself with the tip of the slope and its edge, and keep jumping until you grab on it.
   
6. Keep climbing up until you reach dragon area.
   
7. Perform the already known Skyrim skip.

• Approaching from the spiritspring allows defeating the small dragon first. Do it and take anti dragon effect for best results.
  
• Stick to the wall at the beginning to avoid sliding down.
  
• The alignment with the dent is the highest-risk section, make sure you never go to the right side of its edge.
  
• Make sure you are able to defeat the bosses to get maximum profit.
  
• In co-op, ensure the entire team can perform the skip; otherwise, you become faster but will still have to wait to face the dragon (Unless you can solo).
  
• Loot the crystals, they contain potential legendary drops.
  
• A recommended route after the skip is to clear small dragon, claim the power, defeat big dragon, visit the birds and go around to the final area while defeating Swordmaster and Trolls.

Here you have a run that demonstrates the method on day one, which makes no sense. Always do it on day 2, you need to clear the bosses: