After looking back at some data from glowmarkt and matching up overnight charging I noticed that the first hour past midnight was still being charged at the higher rate until 6am instead of 5am. Seems like EDF have not taken into account daylight saving hours. I've asked EDF but their support is slow and inconclusive. It'd be good to know if this is just a reporting error or if it will affect bills.
If you or your customers are using EDF smart tariffs it may well be with checking their bill/data!