(Though it's already clear enough from the picture... oh well)
Edited, cuc.
The change of movement system from 13.5 to 14.5, as
illustrated by one of the best Suwako players.
Read from Left to Right
HM:

You can move upward and downward while dashing
The dash is the same, whether you're in the upper, middle, or lower part
You can maintain the same latitude while dashing.
You can still "jump" up and down even if you're in the upper or lower part
ULiL:

You cannot move upward and downward while dashing, instead pressing them will make you jump
The dash will be different depending on your latitude. You also cannot jump unless you're in the middle
Dashing will force you towards the middle. And since you cannot jump, it can't be braked(you can't stop the fall to the middle line).
Unless you use the flight button, jumping in the upper or lower part is not possible. But since the dash is not limited, you can make a zig-zag movement.
In short, it gives faster mobility, but less freedom compared to HM. Though it makes combat better, it also makes it harder for you to get to the Occult Ball.
I also think that it's thanks to the flight button now. Not every player can make a quick dash back in HM so that makes it easier. If HM had it, then it might prove to make the movement better.
The zig-zag move was already in HM, but since it's jumping, it's a bit slow. In ULiL you can do a shorter, faster one.
What I'm curious on is how this will fare with Byakuren and Koishi?
Will there be a diagonal teleport dash or hopping?
A quick, zig-zag teleport dashing... Interesting :3