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Many WYSIWYG editors add a DTD, but it's often a partial one. This leaves each browser in "quirks" mode and then each one has it's own idea of what that is. With the full DTD, modern browsers go into their "standards" mode. Although there are still cross-browser inconsistencies, they are usually minor compared to quirks, which emulates older browser behaviors.
This issue is really worth your attention if you haven't looked into it.