Thanks for the clarification.
I will comment on the composition of an analytical sample-the actual sampling of individuals doesn’t change (e.g., the same households are included–which households are included in subsequent interviews is not driven by sampling). Also, I will leave interpretation of your regression results up to you, but will note that a value of 2-8 in MISH doesn’t necessarily mean that household members were present for the first month in sample (MISH = 1). MISH values greater than 1 simply indicate that a household has already been interviewed once already. MISH is part of leveraging the panel component of the CPS, but I would caution against using this without other information about linking.
All of that being said, I would expect anyone who joins (or replaces) a household in MISH 2 or later to have moved in the past year (though not necessarily from outside of the state), and it seems reasonable to me that the sample composition for people who can be linked (and whose links appear valid) across multiple interviews might look different from those who cannot be linked after the first month.