I think when people say "Seattle", they are generally referring to the Seattle metro area which frequently encompasses Seattle, Everett, Tacoma and the eastside (e.g. Bellevue), but for some conversations Tacoma is considered a separate metro area.
Seattle people get touchy about referring even to Seattle suburbs as Seattle but Everett isn’t even close. Calling Everett Seattle is like calling Santa Cruz San Francisco.
Or referring to Beaverton, Oregon City, or Gresham (and similar) as Portland. That makes sense, locals absolutely see the distinction, but if I told someone in another state (other than perhaps Washington) where I lived, I'd just say "Portland" even though I don't live anywhere near the city limits. But the actual Portland people are quick to jump on me if we're in a call and I say I'm from Portland :).
It's interesting, I kinda buy the 'Everett is part of the Seattle metro' but I'd have said Marysville is not. But clearly it is, and my perception is wrong.