I think you are missing the point! I am aware that the switching has to be staggered, and the best way to do that is via the meter itself doing the switching on and off.
... and, in turn, you seem to be missing the facts that (a) the meter probably IS doing the switching, but (b) that there are two 'clocks', the one controlling the switching being different from (and potentially having different 'switching times' set) that relating to the nominal off-peak tariff times.
So why is the OP's supposed off-peak loads being enabled during peak charging?
If the load switching is staggered (with the range of switching times 'centred' on the nominal tariff-change times), then a few consumers will switch at almost exactly the tariff-change time, about half will switch slightly after the tariff-change time and about the other half slightly before the tariff-change time. The suggestion is ther therefore that the OP's meter is set/programmed to do the latter (and more than just 'slightly before' the tariff-change time), so that his loads are being switched on appreciably before the time at which electricity becomes cheaper.
That problem can presumably be avoided by ensuring that the switching times, although staggered, never fall outside of the cheap-rate time period (i.e.
not 'centred' on those rate-change times) - and it is therefore that which has not been achieved for the consumers having this problem.
The only explanation is, that his supply is derived from the LL tail, which is available 24/7, and he has a time-clock of his own, doing the switching on, too early.
No, not the "only explanation" - see my explanation of an alternative explanation above. As I've said, I very much suspect that the OP's loads
are supply by the ('switched') 'LLL' tail, but that the switching is happening at the wrong times.
His supply for his off-peak, should come from the LLL, only live, during off-peak.
Only live
when its clock has switched it on - which (given that it depends upon how
that clock has been set) is
NOT necessarily "during off-peak" (which is probably the OP's problem).