The tier indicator and Solo/Group text stay visible because there's nothing telling them to do otherwise. Anything using DynamicData can use DynamicDataFilter to tell it whether to show or not. Anything that doesn't, stays visible/invisible unless it's a Page object that's controlled by set of Tabs or Checkboxes.
Unfortunately, since the Solo/Group text and the frame/background have the same parent page, anything that would hide the text will also hide the frame and background. 
I was hoping the few scripting abilities that are given to us would help, but it turns out it can only do slash commands, and it's bugged with even that.
Edit: I was about to say that I am complete and utter newbie compared to Talyns in the "hardcoded-workarounds" arena, but I just saw that this post gave him a clue, yet I missed it. So my newbosity is complete, but not utter.
