Omniscope allows you to display multiple data subset variations along the lines
All data >Filtered data >Query data>Selection data

It also has (in the Desktop mode) concept of intersection with the query data.

What you're trying to achieve here is slightly conflicting, as the first Content view should only respond to filtering, but not selection, and the second one should respond to both.

The only way to do 'freeze the filtered data' is to create a query, and point the first Content view to that query, and the second view to Selected data. You can also create several queries that users can pick from in the browser mode.

You could also try to place the 2 views on 2 tabs.

Hi Paola, thanks for your quick response.

That is exactly what I am trying to achieve: one content view responds only to filtering, while the other responds to users selections (currently I am using 'Selected data' for the second view, as you suggest).

In the desktop version, I can set the first view up to display what I want in two ways: turning off selection brushing, or de-querying by the fields used as splits in the other views. Is it not possible to use either of these methods in mobile reports?

We will add this functionality in mobile and post a note here when it's done.
Having said that, it would be difficult to give you precise timing at this point.