I am not a US citizen, but I do know one who lives outside the US, and for several years, had to prove to Maryland that they are not a resident -- each year anew -- until they gave up and listed their non-US address with the IRS, which made everything simple.
Indeed, Maryland is not a no-income-tax state; However, tax issues are not the only thing one should care about, and I wouldn't just move to a state "on paper" without a good knowledge of what that might legally require me to do.
Do no-personal-income tax states never require that you file anything? Whether it is tax related, or not?