^I intended to use them for clamping materials that a typical vise or other type of clamp might not work well with.
I have a few, and every once in a blue moon, I do have a use for them.
Here's an example...
I am restoring that Craftsman machinists' chest. The drop front panel would not slide in under the bottom drawer because the bottom of the box had warped upward. I soaked that towel in water and clamped the bottom to the workbench top at the apex of the warp. Could I have used a modern clamp? I was reaching for a few bar clamps and pipe clamps, but I would've wanted to spread out the pressure points of their smaller jaws and clamping surfaces with some junk wood slats, and they were an awkward fit. This old wood clamp had a wider clamping surface and more reach. Plus, there's something more synchronous about using wood with wood.
My problem is I have been known to ham fist things and break them, so that wood screw scares me a bit!
As others have said, you're clamping, not pressing or extracting.
Having said all that, I agree with everyone else. The wood screw jobbies are popular with the regressive back-to-basics antique woodworkers, guys working without nails or screws, etc, as a lifestyle. Or wall hangers. And, you probably won't need fifteen of them!