In my experience, the only time this really adds business value is when there is a need for 100% support for accessibility. When you have users who are visually impaired and/or use screenreaders to view your site, you need to make sure that your site is compliant to accessibility standards.
Users that use screenreaders will tend to have their own high-contrast, large-font stylesheet (if your site doesn't supply one itself) which makes it easy for screenreaders to parse the page.
When a screenreader reads a page and sees a table, it'll tell the user it's a table. Hence, if you use a table for layout, it gets very confusing because the user doesn't know that the content of the table is actually the article instead of some other tabular data. A menu should be a list or a collection of divs, not a table with menu items, again that's confusing. You should make sure that you use blockquotes, alt-tags title attributes, etc to make it more readable.
If you make your design CSS-driven, then your entire look and feel can be stripped away and replaced with a raw view which is very readable to those users. If you have inline styles, table-based layouts, etc, then you're making it harder for those users to parse your content.
While I do feel that maintenance is made easier for some things when your site is purely laid out with CSS, I don't think it's the case for all kinds of maintenance -- especially when you're dealing with cross-browser CSS, which can obviously be a nightmare.
In short, your page should describe its make-up in a standards compliant way if you want it to be accessible to said users. If you have no need/requirement and likely won't need it in the future, then don't bother wasting too much time attempting to be a CSS purist :) Use the mixture of style and layout techniques that suits you and makes your job easier.
Cheers!
[EDIT - added strikethrough to wrong or misleading parts of this answer - see comments]