This newspaper story from Everett, Washington, explains the election consequences if either Jill Stein or Gary Johnson get 5% of the vote inside Washington state. That is the threshold for qualified party status. The story does not mention it, but a qualified party need not petition for President, so if either party achieves 5%, that would make petitioning easier in 2020.
The last time a party, other than the Republican and Democratic Parties, was ballot-qualified in Washington state was the period November 2000 through November 2004. The Libertarian Party had that status because it polled over 5% in 2000 for Lieutenant Governor, as well as Auditor and Land Commissioner. But after the top-two system began in Washington in 2008, the definition of qualified party was made much more restrictive. Back then a party that polled 5% for any statewide office qualified, but now only the presidential vote counts.
If either the Libertarian or Green Parties become qualified in Washington state for the period November 2016-November 2020, they would still suffer under the top-two system. There is not a single instance of a member of any party (other than Democratic or Republican) coming in first or second in any partisan race in a top-two state, if there are at least two members from the ranks of the Democrats and Republicans also running. The October 1 2016 printed Ballot Access News documents this.