This answers the question (I got the 'elementid' -1005166, which corresponds with BuiltInParameter.PLAN_VIEW_LEVEL)
Unfortunately this is only a part of the answer I need for my problem, but it appears that the missing parts have (still) not been added to the API
I am trying to organise and sort a list of Views in the same way that the project browser does. The BrowserOrganization.SortingParameterId only allows to find the sort option, not the Grouping settings (and neither are the filtering settings).