I believe this is the movement @DeaconElie is referring to:
Conan Exiles Update 3.0 Livestream!
https://youtu.be/YpxQq0RezlQ?t=5287
Testlive Update 3.0 (2022.08.04): The Age of Sorcery
https://forums.funcom.com/t/testlive-update-3-0-2022-08-04-the-age-of-sorcery/198385/2
This is only experienced while having the setting;
CONTROLLER STYLE MOVEMENT set to Off
Personally I strongly dislike this change, but perhaps it could be a sprint while moving sideways?
Like using sprint while strafing, since dodging is now less impactful when you can just strafe faster.
Or have it be be included to the Agility Perk:
Quickfooted - Jogging, sprinting, jumping, swimming, and climbing costs less stamina and are faster.
The issues I’ve faced so far is;
- Difficulties decorating and having to use the “walk-mode” at all times.
- Difficulties navigating small ledges without suffering mini-scares of almost throwing myself off the cliff.
- Personally disliking the look of the now jittery animation compared to the previously smooth animation.
Maybe I’m in the minority here, but it’s a nay for me. Otherwise I LOVE the new 3.0 update! 
Big thanks to @Multigun for summarizing dev streams to make it easier to find!