And since GoT was loosely based on the War of the Roses, which was a 30+ year conflict between two very powerful branches of the Plantagenet dynasty, this ending was the OPPOSITE of what happened with the real war.
The real War of the Roses ended when one claimant, Henry Tudor, with Plantagenet blood and ties to both the Lancasters (Lannisters) and Yorks (Starks) seized control of the throne by virtue winning a major battle. This consolidation of power, and his/his heirs’ subsequent killing/imprisoning of anyone else with Plantagenet (Targaryen) blood ultimately, and perhaps ironically, led to peace. Out of the ashes of the Plantagenet dynasty rose the Tudor dynasty, arguably the greatest English dynasty in history (though the reign of King Charles the Tampon promises much.)
After decades of civil war, with both the nobles and commoners exhausted and gutted of their peace, their money, their food, and their men, Henry VII’s reign must have been a relief to the English people.
But. Essential to this peace was the notion that the succession was finally settled! There would be no more fighting over who had the superior claim; it was understood that Henry’s heirs would take the throne, as both a blood right and a birth right. They were so war weary that when Henry VIII’s only male heir, they allowed his previously declared bastard female heirs (Bloody Mary and Elizabeth) to ascend to the throne.
Given that having royal blood was as essential to GOT lore as it was to English history, after all this chaos…it makes zero sense that they would elect a King who had NO chance of bearing an heir! Because, as Tyrion points out, once that King is dead, they’d all be back to Square One…and what’s the chance of a bloodless mutually agreeable appointment happening again?
No, if they wanted peace for the realm, it would have made far more sense had they picked ANYONE who could have produced heirs v. a sterile king. Even the Greyjoy lesbian could have sucked it up and slept with a man for the sake of peace!
Instead, the future of Westeros holds yet another Civil War as 3 Starks, 2 Targaryens, and 1 Lannister, plus ALL their potential heirs, eventually duke it out for the right to sit on the iron-blob throne.
They should have elected Samwell Tarly.