Yep, check that you're grounding correctly. Also, you should tune the fuel map as close to optimal as possible before enabling the closed loop feedback -- and always tune fuel map with closed loop disabled.
Closed loop is setup to add/decrease fuel within some limits compared to the base map value (O2 FB Rich limit and O2 FB Lean limit). The limit as i recall is something like +/- 15% per default. Thus, close proximity of desired AFR and the base fuel map is important regardless of O2 Feedback. O2 FB is usually enabled only in vacuum area, below "O2 FB Maximum Load". One more reason to tune the fuel base map first.
I don't think injectors affect working of O2 feedback. When your ECU sees the same AFR as your wideband lambda, it is able to make useful fuel corrections. That is if your wideband lambda shows correct readings,...