Compatibility - The Lion King II Gamebreak: starting minigames fails

The game works correctly on Windows XP. On ReactOS, it complains when starting any mini-game: "The registry entry requested is invalid. The game may not be installed correctly" and exits (first experienced this on Wine). It's obscure what it wants - obvious registry entries the game uses are present, and the program reads them.
Tested on: last build using older Cmake (88300ec3b3bbb2fc024f1d960d317dd802c4a3f6) with current patched wdmaud. VirtualBox 5.0.36, installed drivers, Additions, DirectX Nov 2007 and VBoxD3D on top of it.