Randy,
Your description of the cutting action of your Shopsmith's scrollsaw would also describe the action on the DeWalt... and I would guess the nearly identical Excalibur, too. It is a function of the short distance from the pivot points to the blade holders. In comparison, your Hawk has a very long radius and therefore a more vertical ie. less aggressive cutting stroke... so you made a good move.
I don't see many DeWalt or Excalibur people admit to that aspect of their scrollsaws, but many get emotionally attached and go into denial...
Spence
DeWalt user