N1570 6.11.6:
The use of function declarators with empty parentheses (not
prototype-format parameter type declarators) is an obsolescent
feature.
This same wording appears in the 1990, 1999, and 2011 editions of the ISO C standard. There has been no change. The word obsolescent says that the feature may be removed in a future edition of the Standard, but so far the committee has not done so. (Function pointer declarations are just one of several contexts where function declarators can appear.)
The Introduction section of the C standard explains what obsolescent means:
Certain features are obsolescent, which means that they may be
considered for withdrawal in future revisions of this International
Standard. They are retained because of their widespread use, but their
use in new implementations (for implementation features) or new
programs (for language [6.11] or library features [7.31]) is
discouraged.
A call to a function declared with an old-style declarator is still required to pass the correct number and type(s) of arguments (after promotion) as defined by the function's actual definition. A call with incorrect arguments has undefined behavior, which means that the compiler is not required to diagnose the error; the burden is entirely on the programmer.
This is why prototypes were introduced, so that the compiler could check correctness of arguments.
On an i386 system with GCC, “extra” arguments passed in a call to an
empty-parentheses-type’d function pointer are ignored, because of how
stack frames work ...
Yes, that's well within the bounds of undefined behavior. The worst symptom of undefined behavior is having the program work exactly as you expect it to. It means that you have a bug that hasn't exhibited itself yet, and it will be difficult to track it down.
You should not depend on that unless you have a very good reason to do so.
If you change
int (*fp)() = foo;
to
int (*fp)(int) = foo;
the compiler will diagnose the incorrect call.