I always stop in for a coffee or a quick snack on arrival with my Alaska Lounge Plus membership and have never had an issue. I do the same at Admirals Clubs and have never had a problem there either.
I was also able to do this when flying on a first-class ticket in the old days, so I'm surprised there are limitations for OW status holders.
Edit: It's a no from the OW lounge info page "Access is available on the day of travel (or before 06:00am the following day), at the airport from which the
oneworld flight on which the eligible customer is travelling departs"
(
https://www.oneworld.com/airport-lou...#access-policy)
Now, if you do a same day RT mileage run, will they let you in on arrival since it's the same departure airport