Spatial indexing is quite like regular database indexing. If the operation is clever enough to be inexpensive to compute an index with high levels of precision, you gain the advantage of spending less time in the indexing phase of your computation. This becomes relevant when you regularly want to spatially index the entire world, for example.
The only special thing I can see about this particular approach is that it's a circular index, which isn't a common way to approach spatial indexing. The more common approaches such as building R-Tree are rectangular which may not be applicable to all use-cases. Many spatial analyses use circular buffer on point approach (I see this a lot in health fields such as disease analysis), where this specialized approach might eliminate a post-processing step and net some performance gains for the end user.