Someone else can find the standard quote but I’m going to explain conceptually.
It doesn’t work because a using-declaration only affects name lookup.
Your using-declaration causes name lookup to succeed where it would otherwise fail, that is, it tells the compiler where to find the function f. But it does not tell it which A subobject f acts on, that is, which one will be passed as the implicit this parameter when f is called.
There is only a single function A::f even though there are two A subobjects of C, and it takes an implicit this argument of type A*. In order to call it on a C object, C* must be implicitly converted to A*. This is always ambiguous, and is not affected by any using-declarations.
(This makes more sense if you put data members inside A. Then C would have two of each such data member. When f is called, if it accesses data members, does it access the ones in the A subobject inherited from B1, or the ones in the A subobject inherited from B2?)