Can't edit live corners after modifying unrelated parts of the path, sometimes

Loving the Live Corners feature, it's a dream come true. However, editability of the corner radius seems to be an issue. I'm working on a path with multiple corners, and even though I can adjust the radius of a corner, once I work on some other, unrelated part of the path, the live corners widget disappears from the corner I was editing (and no "Corners" field in the toolbar either). It's as if the corner was "expanded" into its two anchors and Illustrator doesn't understand it was a live corner anymore.

This must be a bug, because it does stay in *some* corners, but it disappears in more than half of them. I was even working on a completely symmetric shape and the corner widget disappeared on the right corner but not on the corresponding left corner!

Does this happen to anyone else?

Dear Illustrator devs, you don't actually need to track which corner was adjusted via live corners and which one wasn't. Just provide the widget on all corners that are arcs or beziers emulating arcs. That would both fix this bug and provide better editability for SVGs and other vectors created with older versions of Illustrator or other apps.