That's an interesting idea! Right now it lets you preview either the original file, or with the silence cut out (and you can quickly toggle between those). I guess this could be a third state, to only play back the cuts.
For my own workflow I usually play back the recording with the silence cut out, and tweak as I go. (The new version I'm working on has the ability to manually cut/keep parts of the timeline). It's way faster than what I used to do, which was play it back while making the cuts as I went. I'm not sure I'd personally want to listen back to only the cuts because it'd be easy to lose my place, but I could see how someone could want to do that.