From what I hear the ethnic Russians in the Baltic states are content to be where they are and ruled by the Estonians, Latvians, and Lithuanians. Might be because those countries are not basket cases like Ukraine.
Anyways, Putin's moves are not for the benefit of the Russian diaspora, but for domestic consumption.
Last thing: the Baltic states are smaller than Ukraine, but their shinola is wired tight military-wise. They are not like Ukraine's korrupt klown korps. Russia has enough resources to ensure victory, but they'll pay a steep price for such a piddly country. I seriously doubt Putin is dumb enough to risk real casualties to his own for such little gain. There is still lower-hanging fruit in Ukraine.