Forcing a style is not an optimum solution... the Gtk project should do a better job at not breaking everything in sight.
And QGtkStyle tries to mimic the current Gtk theme -- which in my case was Adwaita.
Adwaita is not actually a huge problem...
this Adwaita theme plugin for Qt is non-issueful.
...
The answer is that linux themes
should, but
don't, Just Work.
And QGtkStyle might work under certain conditions, but it sure isn't guaranteed... so an actual known working theme is to be preferred rather than some unholy translation engine as is the default on some popular desktops.
We can now proceed to bicker over theme preferences.