Dear Roy,
Thank you for your query.
Before anything else, I must ask you:
Have you installed RevitLookup and are you using it on a regular basis in your Revit database exploration?
If the answer is 'no', I suggest we terminate this discussion right here and now until you have installed it and tested using it for your situation:
https://github.com/jeremytammik/RevitLookup
With that tool, you can interactively snoop the database.
In this case, you could grab one of those ParameterId values, use the Revit API Manage tab to select the corresponding database element, regardless of whether it has a graphical representation or not, and interactively explore its nature, contents, parameters, relationships with other elements, etc.
That will probably answer your question right then and there.
It is statically compiled, however, so it mainly displays properties. It does not dynamically evaluate all methods available on all classes.
For that, you can use other, even more powerful and interactive database exploration tools:
http://thebuildingcoder.typepad.com/blog/2013/11/intimate-revit-database-exploration-with-the-python...
Also, my blog post yesterday on How to Research to Find a Revit API Solution might come in handy for you at this point:
http://thebuildingcoder.typepad.com/blog/2017/01/virtues-of-reproduction-research-mep-settings-ontol...
I hope this helps.
Best regards,
Jeremy