Please do not permit this:
* One * Two * Three * Four
under any circumstances, even if it seems like these are "supposed to" be two separate lists. If you need two separate lists, then you should put some text or other content between the two lists (at minimum, two blank lines). If the "correct" wikitext rendering is going to involve a blank line, then that line should be removed and a single list created.
(Also, please improve accessibility for people using screen readers by making this change retroactive/to clean up the thousands of incorrectly formatted lists already on wiki.)