Barrel weight for Hammerli X-esse

I have a Hammerli X-Esse from Larrys Guns and I am concidering putting a barrel weight on it. I do not have larrys scope mount so I'm not getting the advantage of that extra weight. Any opinions would be appreciated as to whether the additional weight is really necessary, how much weight I should add and which model weight (steel aluminum etc.) Should I get.

harbor freight sells stick on weights in 1/4 oz and 1/2 ounce, easy to stick on and remove if need be, big pack only costs 4 bucks or so.