I'm not up on the residency time issues.
But some of the states are odd--and especially as to NY you may have been paying UC to NY and been deemed a NY worker for just about all purposes even if you lived elsewhere. Its a common problem of fork who live in NJ but commute to NY--but NY takes view that a homeworker in say TN for a NY firm is NY worker even if they never set a foot in NY just so long as the work instructions or work product passed thru NY. --so I agree its very confusing.
Now if you were a service rep for a NY firm in WA to service WA clients you'd most likley be a WA employee.
My view, if totally confused--file both places . And if you don't meet WA residencey requirements, be sure to file in NY.