I wonder if this idea might be taken to its logical extreme one day, using a low volume pressurised jet to sweep the bowl. Effectively a pressure washer to do a quick sweep instead of the large volume flush approach used today.
However since we're so oversupplied with ater there's not much point.
For the OP, another option is to use grey water in the cistern, output from sinks etc. More water saved, and more cleaning needed. In Japan a sink on the cistern is common, with the wash water going into the cistern.
Is this worth it:?