It is a very mild cleaner, comparatively. Most keepers rarely rinse the solution off the tub, etc. Usually it's only rinsed when it is used to clean water/food bowls. They generally spray it on the object, wipe with a paper towel and it's all done.
With plastic/cloth plants, in my opinion, it is necessary to rinse. Then again, I rinse it all.
It can also be used as a wound cleanser(animal and human) and a mouthwash for humans, so that should give you an idea of how safe this product is.
One thing that is important to note is to keep it away from eyes and ears, of all creatures. It is known to cause corneal ulcers and impaired hearing/deafness.
In my opinion, if it is bothering you that much, rinse everything again. That said, it isn't harmful if there is adequate ventilation, and you rinsed it well. A "whiff" of a smell is probably your mind overworking itself with paranoia.