Paul, thank you, as always. I can certainly use this when maintaining the paragraph styles in the original table will be the best procedure. I would like, however, to be able to strip the paragraph and character styles as well, as I tried to indicate in my post, so that I have a "style-less" (I know Normal will be applied) table and text.
My reason is, that in my proposal work, I occasionally have a long document with lots of tables and a style list from, shall we say, the subterranean, to import, clean, into a custom template. Making short work of the table reformatting will be a very significant time-saver in such cases.

Much obliged, and best wishes.
Philip