QPainter::drawText() on QPixmap does not produce ClearType subpixel anti-aliasing

#include <QtWidgets/QWidget>
#include <QtWidgets/QApplication>
#include <QtGui/QPainter>

namespace {

class DirectWidget : public QWidget {
public:
    DirectWidget() noexcept { setFixedSize(150, 20); }
private:
    auto paintEvent(QPaintEvent *) -> void final
    {
        QPainter painter{this};
        painter.setRenderHint(QPainter::TextAntialiasing);
        painter.drawText(rect(), Qt::AlignCenter, "Direct Rendering");
    }
};

class PixmapWidget : public QWidget {
public:
    PixmapWidget() noexcept { setFixedSize(150, 20); }
private:
    auto paintEvent(QPaintEvent *) -> void final
    {
        QPixmap pixmap{size()};
        pixmap.fill(Qt::transparent);
        QPainter painter{&pixmap};
        painter.setRenderHint(QPainter::TextAntialiasing);
        painter.drawText(pixmap.rect(), Qt::AlignCenter, "Pixmap Rendering");
        painter.end();
        painter.begin(this);
        painter.drawPixmap(0, 0, pixmap);
    }
};

}

auto main(int argc, char **argv) -> int
{
    QApplication app{argc, argv};
    app.setFont(QFont{"Consolas"});
    DirectWidget dw;
    dw.show();
    PixmapWidget pw;
    pw.show();
    return app.exec();
}