Hi Andre — you're absolutely right, and that's exactly how it should work. This one's already fixed.

The problem was that a link to your own site written the normal way — a full https://yoursite.com/... address, which is what the WordPress link picker produces — was being treated as an external link and kicking you out to Safari. Now links to your own site stay inside the app: if there's a native screen for that page it opens there, and if not it opens in the in-app browser still signed in. Only genuinely external links (to other sites) hand off to your phone's browser, which is the behaviour you'd want.

To get this one you'll need the latest app version, 1.4.0, from the App Store / Play Store — like the notify-bell fix, it came in a full app update rather than an over-the-air one, so updating from the store is what brings it in. You can check your current version under Settings/About.

Once you're on 1.4.0 those links should open in-app as expected. Thanks again for flagging it!