Clang: problems with stdint.h in C mode

This is a followup on QTCREATORBUG-15303

I am on OS X 10.12.2 Sierra. I am not sure if any of the following applies to other platforms.

In 4.3.0-beta-1, .c files are now correctly recognized as C code (not C++ anymore). However, this works only if the C compiler is set to GCC (as in the screenshot). If I set it to Clang, then .c files are still parsed as C++.

Types from <stdint.h> do not work in C mode. E.g., uint8_t is not recognized as a valid type (screenshot).

In C++ mode, there is no problem with <stdint.h> (or with <cstdint>).

<stdint.h> on my system is very similar to this: http://clang.llvm.org/doxygen/stdint_8h_source.html There seem to be separate and different definitions for C and C++. I am not sure where the C ones are as they use #include_next.

A generic project that demonstrates the problem is attached.