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Definitely not true. Otherwise we would have really fast C++ compilers and no one would ever have implemented hacks like precompiled headers.
That hack is because of C. Definitely true when using VC++ with C++20 modules and MSBuild. It also helps not compiling everything from source as many UNIX folks do.
Lol, sorry, but as soon as MSBuild is involved the compiler can be infinitely fast and you'd still need to be waiting for the build. Also the main problem of MSVC is the slow linker, and that isn't fixed by C++ modules. This is also the first time I'm hearing that C++ modules actually help with compilation speed in real world projects - the best I've heard so far is that they're a bit faster than precompiled header but not by much, which simply isn't good enough for typical C++ projects.