I have a folding false bottom from Sabco that looks like yours, but without the extra support ring. It is designed to fit into the lowest part of the keg before the slope. I doubt yours will go any lower. I like the extra support thing, though, because my pump will sometimes bend the false bottom if the grain bed has compacted too much. When bent it will allow some grain to pass by and get under it.
The hole for my dip tube is in the center, the deepest part of the keg.