You would be very, very stupid to ignore this now that you know about it.
It won't go away. It will escalate. Of the 15 years I worked as a criminal lawyer, many of the hours of those years were spent sitting in the traffic court, waiting to get my cases called on, behind a queue of 'in absence' motoring offences.
If you don't name the driver, a charge of failing to provide details will automatically be added. Potential fine and points go up. If you still don't respond, the matter will be added to a court list. If you don't turn up or plead guilty or not guilty by post, the matter will be heard in your absence, and you will be fined and given points. The costs will then start to spiral. At some point you are likely to be tracked down and you will then find yourself in the position of having to take it back to court and argue that you should be given the opportunity to re-open the case. This will involve serving a statutory declaration which the court will then consider. If they don't agree to re-open it (and they almost certainly won't if it's just a case of not updating your address) you will be asked to make arrangements to pay the fine and costs. They might agree to reopen it, find you not guilty of the speeding and still convict you of failing to provide details - the more serious offence.
All of this is a bread-and-butter, almost automatic process. These cases aren't just dropped because the police/CPS can't be bothered. They deal with non-responders every day. It actually makes their life much easier if people don't engage with the process. The paperwork probably won't be amended to your new address because they already have an address on the system and no reason to go looking for another one. But if you are convicted in absence, you will probably find that they track you down pretty quickly due to your updated address - the bailiffs do have a reason to look for alternative methods of contact.
So no, don't wait to see if the paperwork turns up, because all you are doing is willingly building up costs and points.