Some are more like a paper based while others are more fiber/cloth based. Still Toyota branded - but from a different model.
You can still wash a paper element, though it is hit or miss, to get all the dirt out - if it will make it out in one piece. Fiber/cloth ones can hold up to gentle washing or soaking. In either case - make sure the filter is 100% dry before you reinstall it. I've see a few cases where a significant amount of mold and mildew started to grow on the filter elements (more common on the paper ones). If it is the carbon activated types, have to wash those very gently as they cannot stand up to a brisk wash without losing a significant amount of the activated charcoal "pellets" in the pleats.
My rule of thumb - if it is paper - just toss it. If it is fiber/cloth based - I wash it no more than two times - then toss it. We have allergies - so I check the cabin air filter pretty regularly. If it looks suspect - I toss it, replacement filter is way cheaper than making my family uncomfortable.