I managed to build and boot the tisdk-default-image-am335x-evm using 07.03.00.005.
I run some of the qt demo apps that are packaged into that image, and it looks good to me.
I created a simple qtwidgets app (cross-compiling on the host with qtcreator).
Just a mainwindow and a button that has a large font. The app runs on the target, except the large font on the button shows up as a very small font.
I checked /usr/share/fonts/ttf on target, the font I used in the gui is there.