Wuf I think you have something of a point but are probably taking it too far.

For instance, you discounting Olenna as a true power player. Olenna is quite clearly a near match, minimum, for Tywin. As head of her family, she's arguably done a better job of keeping the family unified, when by all rights they could have been declared enemies of the state and wiped out for aligning with Renly.

Money, of course, was a key factor there, and for all the bluster about Lannister riches, they could not keep the Realm afloat without the Tyrells.

She trained Margaery to be a better family rep than any of the Lannister children. She killed Joffrey, FFS, and framed Tyrion. This is not a woman who needs a man or who makes mistakes.

Brienne, for all her ineptitude, killed The Hound. Arya used him for all she could and abandoned him to a brutal death. Arya is not bouncing from man to man, rather, she is outwitting them (Jaqen, too), outliving them and moving on. This is not the typical behavior of a 10-year-old girl.