Well, luckily most ATCO's dont file when an aircraft makes a mistake. The ones that do normally learn that having their actions as well as the concerned aircrafts actions looked at makes trouble for both. But guidelines from experiance, when in Radar do what the controller instructs, within aircraft capabilities of course, and unless faced with an RA, then follow the RA, the controller has already had his try and failed. So when in radar contact offset where and how instructed, non radar (SLOP) right and you dont even have to tell. When you show back up on Radar you are still within RNP conformace. Once Radar identified request further offset or gently head back on track. Remember seeing you are coming from non radar to radar you are at least 30 miles from any traffic ATC could normally care less about a 1 or 2 mile non radar offset.