There is a difference if Function's operator() has ref qualifiers. With std::forward, the value category of the argument is propagated, without it, the value category is lost, and the function will always be called as an l-value. Live Example.
#include <iostream>
struct Fun {
    void operator()() & {
        std::cout << "L-Value\n";
    }
    void operator()() && {
        std::cout << "R-Value\n";
    }
};
template <class Function>
void apply(Function&& function) {
    function();
}
template <class Function>
void apply_forward(Function&& function) {
    std::forward<Function>(function)();
}
int main () {
    apply(Fun{});         // Prints "L-Value\n"
    apply_forward(Fun{}); // Prints "R-Value\n"
}