The viewpoint that DIVs work better with screen readers than tables is missing the real issue.
Current CSS and HTML standards simply don't provide any explicit tags/indicators to aid screen-readers. Until they do, regardless of whether you use DIV or tables, you have to just hope that your "semantically correct CSS page", or "get the job done tables" work with most screen-readers.
Don't forget, it is equally easy to create an incomprehensible page using DIVs only, as it is using tables.