Firstly I want to say that type 2 is my prefered design but I've included 3 variations, with type 1 probably too structurely compromised to mold. But hey it might be possible with production refinements and clever design.
My proposed part is called an invert jumper plate because it provides an inversion of current jumper plates such as #87580, the white 2x2 jumper plate in my illustration above. These parts are similar to common tile except they have an offset centralised stud facing up in the middle of the top surface, which in turn allows more detail to be built into models by splitting the stud. The invert jumper plate could be used upside-down on top of an ordinary jumper plate to switch to SNOT (studs not on top) modeling. Also for instance, it could be mounted horizontally using a part such as #87087.
I can think of another good use for invert jumper plate.
For this use my proposed part would be better called a tile with a hole in the middle, but nevertheless I shall continue to refer to it as an invert jumper
A particular requirement for an invert jumper came to me some years ago when I was creating technic models using beam and plate parts. I wanted to be able to mount a vertical axle through plate, such as by using a #3738 (technic plate with holes), but I wanted a smooth tile type finish instead of studs. By placing an invert jumper on top of #3738 I imagine it becoming possible to mount pin connecting parts as well.