Not to nit-pick here but 950mv would be really rich, 900-920ish is normally around target afr from what I've always seen. Of course I used a wideband to make sure I was where I needed to be but never saw above .940mv even at 10.8 afr.
And as stated front o2 sensor must swing back and forth, it's ALWAYS trying to achive stoich during normal throttle operations.