DD2 here is a much more determined individual than her sister. She will often refuse to apologise or conform - we try to move on quickly so firmly insisting on the apology/excuse me etc but looking forward as if it is a step that is necessary before we move on. This is getting easier with time. Although we do have the issue of DD1 doing things, just saying sorry and not changing her behaviour!
DD2 here is having a rough time atm (in her eyes) as she is feeling like she misses out compared to DD1, trying really hard to be patient but she is hard work!