rustup didn't install Visual Studio

If rustup-init detects that Visual Studio is installed but with the incorrect modules, it should say so.

If you don’t have Visual Studio already installed then rustup-init will offer to automatically install the prerequisites.
- https://rust-lang.github.io/rustup/installation/windows-msvc.html

But when I ran rustup it didn't offer to install Visual Studio:

> rustup

Rust Visual C++ prerequisites

Rust requires the Microsoft C++ build tools for Visual Studio 2013 or
later, but they don't seem to be installed.

You can acquire the build tools by installing Microsoft Visual Studio.

  https://visualstudio.microsoft.com/downloads/

Check the box for "Desktop development with C++" which will ensure that the
needed components are installed. If your locale language is not English,
then additionally check the box for English under Language packs.

For more details see:

  https://rust-lang.github.io/rustup/installation/windows-msvc.html

Install the C++ build tools before proceeding.

If you will be targeting the GNU ABI or otherwise know what you are
doing then it is fine to continue installation without the build
tools, but otherwise, install the C++ build tools before proceeding.

Continue? (y/N)

And I see this with the default project:

> cargo build
   Compiling test v0.1.0 (C:\Users\AMONGUS\projects\test)
error: linker `link.exe` not found                                                                                                                                                                                              
  |
  = note: program not found

note: the msvc targets depend on the msvc linker but `link.exe` was not found                                                                                                                                                   

note: please ensure that Visual Studio 2017 or later, or Build Tools for Visual Studio were installed with the Visual C++ option.

note: VS Code is a different product, and is not sufficient.

error: could not compile `test` (bin "test") due to 1 previous error       

is it 2013 or 2017?

Why is this most basic step of "install rust on Windows" seemingly so completely broken and/or poorly documented?

Start with the rustup-init Windows MSVC prerequisite detection and compare its behavior with the Windows MSVC installation documentation. Reproduce the case where Visual Studio is installed without the required C++ modules, then verify that the resulting guidance distinguishes the supported Visual Studio versions and explains the missing prerequisites.