With a few small exceptions, the items that are accepted in home recycling in our region are still getting recycled. More items may have to be disposed if markets for them disappear. If recyclables do go to a landfill, it would be as a last resort, for the fewest items possible, and for the shortest amount of time possible.
The Oregon Department of Environmental Quality has a list of all recyclers that have requested to dispose of materials. It can be found on the Recycling Markets page.