There should be a way to order the statement groups on the article placeholders. It should be in the statementListRenderer in the Lua module. But we'll need to figure out a way of ordering the statement groups first. (see dependencies of this ticket)
Note that correct grouping and sorting is dependent on type of subject, and that type of subject can even trigger other second order grouping and sorting.
An example is "position held (Property 39)" which may be central for description of a politician, but not important for a some sports atletic.
If the list of statements should be filtered down (a lot of people at nowiki think it should - I'm still not sure) then grouping, sorting, and filtering will depend on each other.