Yes, but you are making a big assumption that it will be a fair coin.
In the real world. There are other factors that contribute to gender imbalance(Infanticide, foeticide, mortality etc). Plus also note that once the gender balance goes out of balance it continues get worse with every iteration.
So this basically works like algorithm which is continually trying to increase the count of M's above F's.
In expectation, the overall number of heads and tails will be the same - if you look at the system from the outside, it's just a bunch of independent flips with fair coins, the decisions of the participants have no effect.