I never get comparisons like this. It's like using Mirror's Edge to say that Halo has bad jumping
Using Prince of Persia as a comparison doesn't make sense because Prince of Persia was a platformer. Challenging traversal and movement puzzles was the core of the game; combat moved more to the forefront in the later games, but it was always a 3D platformer first and foremost.
Uncharted, Horizon, Assassin's Creed, etc are not platformers and aren't trying to be. The traversal in them exist as a means to an end: to reach rooftops, to be stealthy, to escape, to explore, and so on. The climbing and jumping are tools in your arsenal, not the central mechanics around which the gameplay, levels, and challenges are designed like the movement in Prince of Persia and other platformers are.
Using Prince of Persia as a comparison doesn't make sense because Prince of Persia was a platformer. Challenging traversal and movement puzzles was the core of the game; combat moved more to the forefront in the later games, but it was always a 3D platformer first and foremost.
Uncharted, Horizon, Assassin's Creed, etc are not platformers and aren't trying to be. The traversal in them exist as a means to an end: to reach rooftops, to be stealthy, to escape, to explore, and so on. The climbing and jumping are tools in your arsenal, not the central mechanics around which the gameplay, levels, and challenges are designed like the movement in Prince of Persia and other platformers are.