My understanding is that the PACE statement provides all the info required by S172 (the NIP) and as such you have complied with the law. The argument is whether the CPS can use it to prosecute you? The local "safety authority" (not CPS) will threaten you with failure to comply with S172 (providing details), but as far as I know, you can't actually lose if it goes to court (because you have complied with the law) and I haven't seen anywhere that you can get points for not complying with S172. What they may do however, is to try and send you a penalty notice anyway and use the PACE statement as admitting guilt. For now it might be better to pay it then, but some people say to just ignore any further correspondence until the original offence times out (after 6 months). There is currently a case waiting to be heard at the European Court - if the individual wins, you would be able to claim back the fine.
Did you get extra points for not providing the info, or providing a PACE statement instead of completing the NIP? Or do you presonally know of someone who has?