Inner tie rod puller

The tool is basically a socket. It becomes more clear with the boot removed.
The u-shaped insert slips onto the body of the inner tierod like an open end wrench. The large part of the tool goes on over the threaded end of the inner tie rod (with the outer tie rod removed) and interlocks with the u-shaped insert. Then you just use a ratchet and turn that like a socket.
Adding a short video from youtube.

Thanks for taking the time to explain and post. After watching the video, I see what @Bodyperson was saying about twisting the rack. The video showed a machined area on the rack presumably to back the tool up with a wrench.