Short answer, no. It seems you are domiciled in Utah. (That is the location of your real permanent home. It is where you have a home, significant professional and social relationships, family, property, and is where you would return if the Seattle job ended. You can be considered a permanent resident of Utah even if you are temporarily away, and there is no set time limit. To be no longer considered a permanent resident/domiciled in Utah, you have to take steps to establish a new domicile and to affirmatively abandon your former domicile.)
As a permanent resident of Utah, you owe Utah state income tax on all your world-wide income. Fortunately, Washington state does not have a state income tax, so you don't have to prepare two state tax returns and get involved in tax credits and so on.
