This limitation is artificial and is just a good example of bad application architecture.
You really don't need to install software as long as it's not installing drivers, services, virtual printers and similar stuff. Some of the registry changes may require administrator permissions as well, for example changing file extensions behaviour.
But games don't do anything like this. All they need is write access to user folder to keep config and save files. In rare occasions they need write access to the game folder to update the game data files. But that's pretty much it.
While the game looks cool and complicated in the end of the day all you get from it is changing few bytes in your save file. Basically it's just a notepad with overcomplicated and counter-intuitive interface