Hey Bonnie...
I've had the problem with not enough twist in my regular one without the hinge (and I have a hinged one and much prefer my un-hinged one). But I certainly understand your preferences. Whenever I didn't have enough depth on my twist, I could give it a couple more twists at the point of "it's not coming out" and the problem was solved. Now, I never have that problem
But I have to say, my trusty corkscrew also doubles duty as a frozen hamburger separator.
You know the drill, ground beef on sale, you buy a bunch, and decide to put some pre-formed patties in the freezer separated by liners for later use.
And then, you try to get them apart: foil, waxed, or parchment--it's no use.
This corkscrew separates the inseparable patties in 2 turns of the screw.
They literally pop apart. Just put the point into the frozen seam, carefully start turning, and the frozen burgers pop apart.
It is truly a miracle.