No - sorry the picture makes it look like that. I don't think that would be a good idea.
There are gussets (the center sway bar mounts) that are welded to the outside of the frame and to the suspension mount. These mounts are welded on both sides, and on the top. They are pretty stout. The top of the jackstands fit right into the gussets (center sway bar mounts) for very secure position locating.
I use these as secure, flat mounts for the top of my jackstands - of course the user has to decide how to support their own car. But if you go look at how the sway bar mounts are constructed - you will see that they are pretty stout.
This picture tries to show the jackstand positioning, and it shows the mount from the top. The jackstand sits under the plate that swaybar mount is attached to, and up against the frame on both sides.