pawsplay
Hero
Looking it over, the requirement that you make a caster level check probably disqualifies the feat from getting you into MT. While MT doesn't say "without unusual restrictions" after the ability to cast 2nd level spells, I think that is a worthy consideration.
Moreover, even though a sorcerer might only know one 2nd level spell, they have the potential to cast others, if they knew them. A Precocious Apprentice does not.
In any case, whether or not the RAW allows the interpretation, it's cheesy and I think a reasonable DM would choose the negative interpretation. A MT is unlikely to be a gamebreaker, but I think it is worth weighing fairness against other characters, particularly Arcane Heirophants, Fochulcan Lyricists, straight up casters, and so forth.
Moreover, even though a sorcerer might only know one 2nd level spell, they have the potential to cast others, if they knew them. A Precocious Apprentice does not.
In any case, whether or not the RAW allows the interpretation, it's cheesy and I think a reasonable DM would choose the negative interpretation. A MT is unlikely to be a gamebreaker, but I think it is worth weighing fairness against other characters, particularly Arcane Heirophants, Fochulcan Lyricists, straight up casters, and so forth.