Wasn't WinG a precursor in Windows 3.0-3.11 to what DirectX is today ever since Windows 95+? If so, it would require a hardware access to your graphics card I think. Inside DosBox which only emulates a graphics card, it probably won't work since DosBox itself accesses the actual graphics card to work.
Which could explain why WinG doesn't install, and Win32s alongside it if installed all in one go.
You could try to download both WinG and Win32s from
here and
here, and install those, which also would install the whole package and no libraries would be missing. See how it goes.
Basically, what happens, is that the game you're trying to install is a 32bit program, and should run without problems in Windows 95, but that one isn't as easy to set up in DosBox as Windows 3.11 is. And Windows 3.11 was a 16bit operating system, hence why it needs those Win32s to be able to support 32bit programs.
WinG on the other hand is what DirectX is for modern Windows operating systems, allowing graphics-intensive programs and games to display properly.