Yes, of course it would - your diagrams are what virtually everyone presumably expects, and which illustrate/define TT and TN-S.Wouldn't TN-S vs TT depend on whether there is a cable from where the N connects to a local earth rod to the installation, or whether the installation has an earth electrode separate from the one N is connected to?
However, as I've been saying to eric, if he has a TN-C-S installation which suffers a 'CNE failure', there will then be no cable connecting the installation's CPCs (hence exposed-c-ps) to the transformer - so the only path (if any) back to the transformer from L-CPC faults in the installation will be 'through the soil', via a local earth electrode and/or extraneous-c-ps (if any) - and I can't understand why eric thinks that means that his installation would have 'become TN-S'. Usually similar language, I would say that it had 'become TT'.
What am I missing or misunderstanding?

