On Wayland, right clicking on a tab shows the generic tab bar context menu, not the tabs context menu. It is impossible to pin, unpin, close, or mute tabs from the menu.
Can confirm on Manjaro with latest updates running under KDE Wayland thing. It seems to work just fine in KDE Neon with Falkon unstable (No changes to this part). (KDE Wayland as well) The difference between the two is the Qt version. Manjaro: Qt 6.7.2 Neon: Qt 6.7.0 Or some compiler mess.
Can confirm it works with Qt 6.7.0 and doesn't work with Qt 6.7.1 and later
Seems to be caused by https://code.qt.io/cgit/qt/qtwayland.git/commit/?h=6.7&id=98d1534dfa28bbedff64fb22f11a5b24385d9cdc
Thank you for investigating the issue.
Fixed for me with Qt 6.7.3