You may try
This is the link from the Google SpreadSheet when one does a File -> Download as -> Comma-separated values (.csv, current sheet)
which is the source attribute on an iframe on this web page. Splicing that iframe src with the base URL, removing the gid adding usp=sharing. The final URL seems to import the data you want. To do this for any other similar google doc report explore the DOM with your browser's development kit or examine your network traffic to see where the download as links take you.