Do the version 4 Boot Camp Windows drivers depend on any older versions being installed beforehand?
Boot Camp 4 can simply be installed onto a freshly-installed Windows 7. An older version of the drivers does not need to be installed beforehand. You should install Windows to BIOS boot. 

FYI:

If you want to deviate from the official version of Windows that Apple had documented to support, then  you may be able to do so. However, often this requires some special procedure to correctly install. For example, installing a 64 bit version instead of a 32 bit version. Or, installing Windows 10 on a machine that officially only supports Windows 7. Many answers here a Ask Different have been posted on this subject. I would post links, but this depends on what you want to install.