I of course, do not question you received this information Micky Mouse however, just a couple of points come to mind...
1) If this ruling applies to everyone who pays their bills at the Aydem office, then I should imagine that over 90% of people will have their electricity cut off as most Turks will not have such insurances;
2) If this ruling only applies to foreigners, then it is blatant discrimination and;
3) If you pay via the bank, then how will this information be checked? If it is not checked, then the ruling is ridiculously easy to circumvent.
Like most new issues in Turkey, the proof of the pudding is in the eating!