I swear to God, if there is a "jumping fatigue" I am still going to jump around like a madman around towns to show you people that a few seconds in between jumps will still annoy you. So hold onto your hats, 'cause I'm gonna blow your mind. You'd need something that's at least a minute in between jumps to alleviate your immersion issues.

But on a side note: If the delay is longer than a minute, it's a very annoying restriction on the game's level designer. No two "required" jumps in an instance or whatever can be within a minute of each other. Sitting around doing nothing next to a ledge, waiting for a timer to finish up is bad design.