QFileSystemModel never displays symlinks that point to non existing files, even if QDir::System filter is passed

As stated on QDirIterator's documentation, it is possible to list broken symlinks by passing the QDir::System flag, however the QFileSystemModel does not allow displaying this kind of file.

I'm trying to display all entries of a directory using the following model:
QFileSystemModel *model = new QFileSystemModel();
model->setFilter(QDir::AllDirs|QDir::AllEntries|QDir::System|QDir::Hidden|QDir::NoDotAndDotDot);

Using the same filters on a QDir::entryInfoList or QDir::entryList call works as expected.