Such an app would take months or even years to make, unfortunately. We made the decision to make the minimum-viable mobile app available as soon as possible, so that people who can't use Dynalist on their metro commute can benefit.
From what you're expecting, it might be a better idea to check back later, after the official release. That might match your expectation better. We know it's an unimpressive experience after you've tried out the mobile web version, but that's really not the intention of the beta test.
I know offline support doesn't sound like a lot since it's invisible, but it's kind of huge. Just look like all the test cases @Oliver_Giessler posted
Finally, thanks for the suggestions on gestures! We'll do more research on that.