There is no need to bubble standing water from the tap. In fact it can make elements like calcium and iron come out of solution. I have had a white muck form on top of the water. That is calcium coming out of solution. I have .3 ec well water. Relatively soft for well.
And chlorine will evaporate from a simple stir but chloramine is what they use now in most city tap water and it will not come out without chemicals.
And this is not a popular opinion on forums but it is very true. There are only a few ppm's likely of chlorine if thats what you have and it won't hurt anything and evaporates mostly when poured anyway.
Don't we water the lawn and vegetable garden with tap straight from the hose?
Check your local water report. You should know your water before choosing methods and nutes.
The reason for letting tap water stand is to get the temperature up to close to room temp to not shock the roots.