Yes, high vibration dampening is exactly what you want if you're dealing with hand fatigue or discomfort on the mountain. Poles with high dampening absorb the constant buzzing and rattling that travels up from your pole tip on hard or choppy snow, so your hands and arms stay fresher throughout the day.
These poles typically use carbon fiber construction, rubber inserts, or built-in dampening systems to soak up that vibration before it reaches your grip. They're especially nice for recreational skiers who spend full days out, ski in variable conditions, or just have sensitive hands that tend to go numb or ache.
The one tradeoff is that high dampening can mute the "feel" of what's happening underfoot — some racers actually prefer low dampening because they want that feedback for timing turns. But for most all-mountain and recreational skiers, comfort wins out, and high dampening poles are a great call. If you've been using stiff aluminum poles and your hands are paying for it, upgrading to a high-dampening carbon or composite pole can make a noticeable difference.