?pseudohypernatraemia
Hyperglycaemia causes pseudohyponatraemia, via osmotic dilution of plasma.
Maybe in the same way, hyperinsulinaemia leads to a drop in plasma [glucose]. This would in turn reduce the plasma osmolality (normally a function of [Na], [urea] and [glucose]).
By rearranging the equation, a reduced glucose, and a reduced osmolality would lead to a pseudohypernatraemia.
Just a thought