There's absolutely no basis and no reason for such connection to exist. The matter of inlining the inner function call is independent from the matter of inlining the enclosing function calls.
Addressing your question: the possibility that the inner call will be inlined is there, of course, but again, it is in no way related to whether the outer function is inlined or not.
It should be noted that compiler's decision-making algorithm that decide whether to inline functions will generally be smart enough to avoid excessive code bloat, i.e. to avoid generation of exceedingly long functions. This means that in some cases inlining the outer function might mean that the inner calls will not be inlined. And vice versa.