As this topic came up a few times recently, a quick explanation here:
tv-setup checklibs currently fails to detect missing QtQuickControls. This is because it only checks for shared libraries, (.so) files, but QtQuickControls is a collection of QML files and has to be checked in a different way. If checklibs says all dependencies are satisfied, but TeamViewer still fails to start, make sure QtQuickControls are installed, too.
EDIT: We have released an update with checks. Please have a look: [Update: 13.1.3026] Spring Update
All the best,
Daniel