If it were a near dead short, and IF it were TT, then the great majority of the energy would be dissipated in the vicinity of the earth rod, where it probably would not be noticed.There's no way that such a fault could be over 2kW. So, was the meter flashing rate a red herring - or some kind of warning?
Admittedly, to get 2kW would require an earth rod of about 25Ω, which is rather lower than normal for domestic rods, but it could be 'helped' by an extraneous-c-p - and the current (~8.7A for 2kW, in reality perhaps a bit more than 2kW) would probably heat up and trip a B6 fairly quickly.
Kind Regards, John