Jump is not NEEDED but that doesn't mean it shouldn't be added.


Highlighted in green can be overcome by different means.
Pros:
Adds another layer of player freedom.
Can add to strategy (dungeons, etc).
Can easily overcome small obstacles in the field.


Cons:
Takes up development time.
Players spamming jump.

At bare minimum the only downside seems to be development time. Not saying it adds a whole lot either, but it certainly wouldn't hurt much.