I don't think that the proposed change improves things much. It just changes something that was open to confusion, to something that says nothing about something important.
see this ... no trick ... two images from the same database
https://www.dropbox.com/s/ak8ysahvagc4j ... I.png?dl=0
The tool bar tells me that that they are the same view, both "unfiltered" ... but one returns 1059 tracks, and the other just 12 tracks??
The truth is that they are both filtered on "bob" ... but the lower one is also filtered to a specific collection, although your proposed UI hides this fact.
IMO the breadcrumb of the lower view should show that I am filtered to a specific collection (ie. not Home)
And they should both have Filter ON.
The "advanced" and the non-advanced are not additive are they? ... ie. it is an either|or situation.
If I type "bob" into the right hand search box, you create a filter with criteria of "any text fields contains bob" .... saying that this not an "advanced" filter, just adds perceived complexity, with no deliverable ... ie. I can change it to an "advanced" filter by adding "track # <= 3" ... why give these two different names? ... that just adds apparent complexity to something that was already complex enough IMO.
[UPDATE] I would propose two controls ... one to toggle the filter on|off, and another to toggle filter criteria display on|off ... and no distinction between simple and advanced filters.
Another question ... why does the menu bar show that my search string as "bo"? ... I searched on "bob"