Tray icon under Mate Desktop on Linux has irrelevant appearance and doesn't handle mouse events properly

Expected behaviour

Icon would draw properly and handle the mouse events properly

Actual behaviour

When compiled with Qt 5.6.0 or Qt 5.5.1 or with https://download.qt.io/archive/qt/5.5/5.5.0/qt-opensource-linux-x64-5.5.0-2.run , N/A icon is shown instead of the specified image, mouse clicks are handled improperly (trigger, double click, middle click do not generate the signal: activated(QSystemTrayIcon::ActivationReason)).

Under Qt 5.7.0 (released 15-Jun-2016 into https://download.qt.io/archive/qt/5.7/5.7.0/ ), the icon's image displays properly and correctly (as expected), but the mouse signals are not delivered (trigger, double click, middle click do not generate the signal: activated(QSystemTrayIcon::ActivationReason))

Under Qt 5.3.2 or Qt 5.1.1, the tray icon seems to be invisible.

Additional info:

Qt 5.0.2 does not have this issue, tray icon appearance is okay and mouse events are delivered okay.