Writing a C++ parser is much harder than a C parser to the point there had been just 3 parsers used among all C++ compilers for quite a while. So you'd need to use some library for parsing. So now you are looking into the library's parser compatibility with the compiler you are using (it might not support the C++ standard you are on at all, it can have bugs preventing it from parsing the code that the compiler parses just fine) and not just on your code but on the library headers you include in your code. What are you going to do when cindex/libclang or whatever chokes on a libstdc++ header? You also have the issue with builtin macros: are they are the same in your library parser? Most likely not. Good luck testing all that.

Two-stage compilation is just a bonus on top: you add a sequential dependency in your build graph and if you have enough of these parsing programs you are going to wait till they are all built before your build can go wide.