I use my immersion blender that looks exactly like the one you linked. After dunking it in starsan, I use it once the temperature of the wort is below 80F (to minimize HSA, if that's real). I just run it around on the surface of the cooling wort while it's in the brew pot and in the ice bath that I use (no chiller yet). It generates loads of foam quickly and seems to stir up the wort pretty well. I can't say whether this makes much of a difference, however. I've done it a few times now, but I've also started using starters. My understanding is that the O2 is primarily used by the yeast during the multiplication phase, and so pitching a lot of yeast (by using a starter) decreases the need to oxygenate. Anyway, I haven't run into any problems either, so I'll keep doing it for the time being.