Eh, outplaying the Freys isn't hard. It's not that they were really good at betrayal, they were just willing to sink to new lows. Basically, they exploited a one time OoC problem that permanently established them as pariahs and are actively being hunted down by a variety of sources (or Arya murdering them all and making Walder eat them in the show, which was awesome).
Tywin, in contrast, is great at treachery. Him knowing when to turn coat vs the Targs was key.
That was only because of how much he was humiliated by Aerys. Tywin only bided his time until his forces started sacking King's Landing and Jaime stabbed Aerys in the back.
I had a weird idea that I posted on another forum back then, which would be a huge set of ISOTs from Westeros to our world: To be precise, the castles are ISOTed to Earth as of June 25, 1521 (the Ottoman Siege of Belgrade carried out by Suleiman the Magnificent). How will Europe or Asia react to such appearances? Here are the houses that end up in the OTL world:
1) Winterfell and House Stark ends up in the same position as Auchenharvie Castle, somewhere in North Ayrshire, Scotland.
2) Casterly Rock and House Lannister ends up in the same position as Chinon Castle, in Chinon, France.
3) Highgarden and House Tyrell ends up in the same position as Ogrodzienec Castle, in the region of the Polish Jura, Polish-Lithuanian Commonwealth. Around the town of Podzamcze.
4) Riverrun and House Tully ends up in the same position as Kalemegdan Fortress, in Belgrade (Nándorfehérvár, Kingdom of Hungary)
5) The Eyrie and House Arryn ends up in the same position as Neuschwanstein Castle, in Hohenschwangau, Duchy of Bavaria
6) Sunspear and House Martell ends up in the same position as the Ark of Bukhara, in the Khanate of Bukhara. More precisely, around Samarkand.
7) Dragonstone and House Baratheon (Stannis Baratheon) ends up in the same position as Kantara Castle, in Famagusta, Cyprus. (then under Venetian control)
8) King's Landing and House Baratheon (Joffrey Baratheon) ends up in the same position as Fort di Sant'Andrea, in Venice.
9) Storm's End and House Baratheon (Renly Baratheon) ends up in the same position as Fair Head, Northern Ireland
10) Vaes Dothrak ends up in the same location as Syghanak, Kazakh Khanate.
11) Pyke and House Greyjoy ends up in the same location as Karlsvärd Castle, in Gotland, Kingdom of Sweden. (Swedish War of Liberation has already started by this point)