Seems the thread is getting a going off in different tangents.
I'll try to put my point of view, and cover all the tangents.
The introduction indicates that existing installations do not have to be upgraded if they complied with earlier editions. Yes no problem
We are required to assess the installation before making any addition or alteration, to ensure that the rating and condition of existing equipment is adequate for the altered circumstances. To my mind, adequate does not mean 'comply with current Regulations'. I would agree with this
We are required during construction and on completion of an addition or alteration, to inspect and test to verify that the requirements of the Regulation have been met. Yes
We are further required to issue appropriate certification. I am not aware that maintenance is excluded from these requirements. Need the certification. I agree that BS7671 does not exclude this for maintenance (the word "may" is a bit unclear) however Part P guidance specifically states BS7671 does not require this only recommends.
We are required when certifying an addition or alteration, to note any defects (where reasonably practicable) in the existing installation. Yes
The existing cables and accessories of a circuit would to my mind be part of the existing installation.
Initially certainly, and certainly not designed or installed by you only modified.
We are required to rectify any defects or omissions found in the work that the certificate relates to, before issuing the certification. Yes for the work to which the certificate relates (but how do you separate an addition from the circuit it is attached to, particularly in testing?)
I do not see that this requires us to rectify any defects in the existing circuit, especially as we are required to note any defects on the certificate. Ah hmm Need to rectify defects in the existing circuit that would cause the addition to fail compliance and need to ensure existing circuit is adequate.