[TimvG]

It appears that Word 2007 loses all table styles when saving a file to
Word 2003 format.
When you re-open the file, the tables *look* exactly the same, but the
table style is "Table Normal". It appears that the formatting of the
table style has been replicated in lower-level formatting e.g. cell
formatting.
This loss of table styles occurs even when the table styles were
originally applied in Word 2003.

I stumbled across this problem using one computer, and "confirmed" it
on another computer. After an hour or two of searching I couldn't
find any discussion of this problem, let alone a fix for it.

Any suggestions as to how I can get Word 2007 to save table styles
when saving to Word 2003?

If I can't convince Word 2007 to play nicely in this respect, I'll
have to stop using table styles in my current project and do all table
formatting "manually" with macros.