I can tell the difference too

Not only between the Climber and Super Tinker, but between corkscrew sak's VS same models with phillips. Maybe it has something to do with the phillips narrower and weight being concentrated in a solid piece of steel and the corkscrew is a bit larger and the weight is more distributed in relation to the body of the SAK. I guess it's not so much the absolute weight, but more the relative weight placement on the the sak.
I'm always torn between the two, but tend to carry the Climber more.
