The people in Seattle will be fine as long as they stay in Washington and their state and the feds refuse to extradite, but anyone charged may have trouble when traveling to other states and will be unable to travel through Texas without legitimate fear of detention.

If Texas does somehow arrest a Washington state resident that works at a hospital that denied this request when that worker was visiting Texas, and that was upheld but state and federal courts, this could backfire in a BIG way on Texas. Other states could put out warrants on Texans, like Paxton or any other Texan involved in executing this law, in every other state in the nation.

Instead of others haven't to worry about stepping foot in Texas, Texans would have to worry about ever stepping foot out of Texas.