But moon jumping would be a fun game concept :)
That doesn't sound appealing in many cases. As a game critic once wrote about the limits of realism: I am not a ninja.
But in particular competitive gaming and esports would get a lot more interesting this way.
I could also see another way of using it that is similar to the teleport mechanic where you clear an area, make a big jump, and when you land you clear that next area before taking another jump. But it would be an interesting thing, almost like a angry birds pulling the slingshot back thing, where the accuracy of the jump is also put to the test.
If I recall correctly, low gravity often made me want to avoid jumping due to the lack of air control compared to ground running.