Is it possible to add a loop-cut like bar to a wireframe-like object? I wanted to create an electric fan grill. After making the shape in the screenshot below (circle -> select circumference -> extrude -> scale -> wireframe), I found that my fan has one more concentric circle. I tried to add a loop cut, but it did not work. After several seconds of vain attempt, I realised that the object is not a flat surface and edges, but it is a wireframe. I wonder if there is a way to add a loop cut to a solid object.

I know I can undo the wireframe modifier and add a loop cut and then apply wireframe again, but just in case the solid object is not created by the wireframe modifier.
Loop cuts can only be added to face loops. If you've applied the wireframe modifier, you essentially turned each edge into a mesh, so you won't be able to add a concentric loop cut to this object.