Hi Andrew,
Your assessor may or may not have a moan about the 16mm tails, each assessor seems to be different. Don't worry though, absolute worst case scenario is that you will have to upgrade to 25mm and that is unlikely.
I assess if 16mm tails need upgrading by looking at max demand and seeing if that is in excess of the CCC of 16mm cable. Also I check to see if it meets regulation 434.5.2, i.e protection of tails against fault current.
You could even show the above to the assessor as it is written in Best Practise Guide number 1 (Replacing a consumer unit) issue 4, section 5.1 note 4 as follows:
"16 mm² meter tails with a 100 A cut-out fuse could be adequate if the maximum demand of the installation (taking into account diversity and load profile) does not exceed the current-carrying capacity of the tails, and also provided that the requirements of Regulation 434.5.2 for protection of the tails against fault current are met."
You'll have to brush up on K² S² > I²t just in case he asks you to prove it meets the regulation though
Good luck