I think it does suit some users to use the static renderings on tiddlywiki.com, perhaps just because Google is apt to include them in search results.
We have rather lost sight of the fact that many recent docs improvements to add interactivity have also broken the static renderings.
As you note, we could therefore decide to limit the interactivity offered by our documentation in order to ensure that the static renderings work properly. That does seem a shame though.
The other alternative would be to refine our interactive components so that they work better in the static view. At the moment there isn’t a reliable way for a template to know that it is being rendered in a static context. If there was we could adapt the “tabs” macro, the testcase widget, and the existing example macros so that they rendered their content unconditionally, without requiring interaction. I think it could be done in each case.