Mobile web iOS - add to screen feature - returns me back to browser

Steps to reproduce

Open Dynalist on iOS Safari browser on iOS.
Click share button.
Click “Add to Home Screen” button. (now I have app looking icon on my home screen and it behaves like an app which is awesome).
Close browser.
Open Dynalist from this shortcut on home screen.
(This now looks like an app - no browser navigation etc.)
Problem starts here:
Zoom into some list - works ok.
Click on breadcrumbs navigator - it runs browser again and opens Dynalist in browser.

Expected result

It should just go level up and that’s it. I stay inside this app looking environment.

Actual result

Browser opens instead.


iOS, Safari (although the point is not to use browser - at least not directly)