Actually vinegar has bacteria in it as part of the process. It will kill some bacteria and some fungus but if you store an open jar of pickles very long, they spoil due to the bacteria. Not strong enough to make me feel it does the job. In water treatment they teach that some things form hard shells when they dry. These require something to react with the hard shell to penetrate and kill what is inside. I think of these as something like snails or clams in miniature. You have to work at it to get to them.
The worries about bleach are largely overblown. Chlorine is normally a gas. It has to be coaxed into staying in solution in the bottle till we use it. Think of when you take a drink and get that strong smell? You are not sniffing the water up your nose. It is the chlorine coming out of the water and blowing away. If you work with chlorine in tablet form like pools or water treatment, one of the first things you learn is to keep the pellet container closed or it will let the chlorine out and it rusts anything metal it gets to. To get rid of chlorine, all we have to do is let it get out into the air. The rinsing helps dilute the amount of chlorine and speed the process but the air drying is all that is really needed. The chemicals in bleach are what is in many water supplies already and we deal with it without much problem. When they started using chloramine for water, we had to start using Prime, etc, to get it out. Before that, we could just let it blow away.