jackrae:
I'm sure you will find that heating the water with your 6kW element will resolve any oxygenation-of-the-water problems. One of the best ways to de-oxygenate water is to heat it up. That's why many cafes cannot make decent tea - they use water that has been kept hot, rather than brewing from freshly boiled water.
I do plan on boiling the water at a later time, so this will take care of any bacteria and over oxygenated concerns I might have. However, a dissolved oxygen meter is pretty pricey and I wasn’t sure of how well I would be able to measure O2 levels without one. So without being certain one way or the other a non-air bubbling method of stirring seemed cheaper than a $400-$1000 O2 meter.