The Trigger is heavier than a canvas or fabric bag, but it's leather, it's to be expected. I got used to it pretty quickly.
Of course I used to own a Marc Jacobs Blake, which I sold for being much, MUCH too heavy. The thing is made of nothing but heavy hardware, leather, and suede. The only fiberous material was in the thread stitching it together. It was a beast. Kind of put me off MJ forever.