Even though an overseas US citizen will pay state tax in the last state where they established residency (and I assume any kids born overseas will inherit their parents’ state of residency?), this doesn’t mean that they will be state residents for other purposes, like tuition. That generally requires physical presence unless you meet one of a specific set of exemptions (eg military deployment). States want you to keep paying them taxes, they are much more reluctant to continue offering you benefits.
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