It reduces the effects of battlefield control on the Barbarian.
The benefits are minor, but can be significant in the right situation. The primary ability of the Barbarian is Rage, which among other things:
When you make a melee weapon attack using Strength, you gain a bonus
to the damage roll that increases as you gain levels as a barbarian.
Thus, the classic barbarian build utilizes melee attacks. They are not usually envisioned as ranged attackers. True, they can throw a weapon, but then they have lost their attack. They can also use missile weapons, but then they lose some of the power of their main class feature.
This makes barbarians easy to nerf by an opponent with some degree of battlefield control. Shooting arrows at them from a cliff top or the other side of a chasm, or flying just above their head, or any other way they can deliver damage to the barbarian from a vantage point of remaining out of melee weapon range.
The Jumping ability of the Tiger Totem can reduce this weakness by giving the barbarian some recourse toward reducing their disadvantageous position. Now they can jump up that cliff, over that chasm or just up to get the person buzzing over their heads. It's true that the enemy could still be too high or far to reach (the extra jump isn't that much), but the Tiger Totem jump does seek to reduce the number of circumstances where the barbarian cannot respond due to distance.