An important note is that it will also leave behind potentially beneficial things like minerals, so it may be necessary to supplement certain plants as a result.

Aging water is different from distilling it.
Leaving it to sit is aging, for the sole purpose of removing the chlorine. You can also remove correspond by putting it in a hug and shaking it for 30 seconds. Both work because chlorine is very unstable in solution, coming out of solution easily. (Pool guys add a stabilized to chlorinated pools to get chlorine to remain in solution longer).
Distilled water is water that has been boiled, has evaporated into a gas (waterm vapor), then condensed and collected. The apparatus that does this is called a still (same name for the thing that makes hard alcohol). It can also be referred to as a distiller. The purpose is to separate the pure water from the dissolved and suspended compounds. The other compounds don’t vaporize or condense at the same temps so they separate.
So, aging tap water is good if there is chlorine, then you can use the aged tap water in your outdoor plants. However, tap water still has all the same minerals in it when it’s done aging, but some of the dissolved gasses have changed, mainly less chlorine. So aged tap is still not good for your indoor plants.
Good luck:)