Illogical. People who can't afford 2 bed rentals don't move to the nearby street if rents are unaffordable. They move to another town where they can afford the rents. Correlation isn't causation
30 days is not a lot of time to find a place, especially if you're having to compete in bidding wars against other people. It can be especially difficult to come up with a security deposit and first month's rent. If most people have less than 1300 in savings then they can only afford a new place that rents for 600/month. I can't think of any municipalities in the area where rents are that cheap without downsizing your family into a studio. To say nothing of the burden of packing all your things, cleaning the apartment, getting enough friends to help you move out, etc.. It's not a trivial thing to do on short notice while you're holding down a job.
You know that moving costs quite a bit of money, right? If you lose your job or have a serious medical issue without insurance, you won't be able to move to a nearby town with cheaper rents.
What do you think the underlying cause of homelessness in Seattle is?