Does this mean it won't support the 1.13 or 1.2 no matter what? Unless I buy that adapter?

You must buy the adaptor. The Tualatin uses a different input voltage then the older P3 chips did. It's unfortunate that very few consumer motherboards come with removable voltage regulator modules, the component that feeds your CPU power. In many cases, these fail before other components, and making them removable would allow for either easially fixable motherboards, or upgradable motherboards as well.