Blank windows in some apps in macOS as guest OS in Parallels virtual machine
I don't think your guess is correct no - there's no requirement to use Apple's drawing libraries for stuff to work in Parallels.

However, it does seem likely that these programs that don't work are 3D-accelerated and you have problems with 3D-acceleration (which is a known problem-area for programs like Parallels). Therefore try disabling 3D acceleration in the Parallels settings for the virtual machine, reboot the virtual machine and your programs should work again.