[CLEANUP] remove many #include <types/xxx> from C files

[CLEANUP] remove many #include <types/xxx> from C files

It should be stated as a rule that a C file should never
include types/xxx.h when proto/xxx.h exists, as it gives
less exposure to declaration conflicts (one of which was
caught and fixed here) and it complicates the file headers
for nothing.

Only types/global.h, types/capture.h and types/polling.h
have been found to be valid includes from C files.