You seem to have overlooked the second reply to your original question.
No I responded to this - I'm installing the new cables whilst the old system is still live. Then taking out the old cabling once the new is connected.
The way you are doing the job has no bearing on the legal requirement for you to notify it to your LABC. The second option in the post did not say "You have to notify, unless you are only taking out the old cable at the end of the job".
You are legally required to notify BEFORE work starts. The LABC will then tell you what testing they require. As a diyer, they will most likely appoint an electrician and his/her costs will be passed on to you.
In your first post you said you had read up on Part P and were going to comply. Did you actually notify your LABC before you started?