WRT the Foundation image, although the Raspbian project says:
this image is created by the raspberry Pi foundation not the Raspbian project and as such we don't control what is in it
They do not claim to maintain any image independent of this. I presume there is no such thing, or else there would be some link somewhere on their web site.
Keep in mind that an operating system distribution is not a device image. Raspbian is an OS distribution. Various people, including the Foundation, have taken this and created SD card images for ease of use.
Most GNU/Linux distros do not provide complete device images of this sort either; what they do provide are DVD images which can be used as "live systems" and installers.
Notice the options implied in the description:
a minimal install of Raspbian to an SD card [...] An install that includes the Debian desktop environment
Obviously this won't simply install a predefined image for you, it will offer you various options based on what you want installed and what you don't -- this is what distro installers traditionally did, although most of the mainstream ones don't anymore, they come in different flavors instead.
Based on their own description and the fact that
this installer has been abandoned by its creators (years ago), I wouldn't bother with it. It will probably be much simpler and faster to start with the Foundation image then add/remove want you want.