I wash it sometimes. I don't think it matters. It depends on where I treated the plant. If I left it soaking overnight in the bathroom, I rinse it the next morning. If I bring the container of water into the growing room and soak there, I don't rinse.
I should add: If there are any visible dead bugs remaining after the soak, I use an old soft toothbrush to remove them gently.
__________________ May the bridges I've burned light my way.