'with the greatest respect ' what an awful and generally patronising expression albeit no offence taken or I believe, intended.
Certainly none intended, RD, and I am delighted that none taken. I simply wanted to disagree in the politest possible way, and without causing offence and thereby risking starting an argument.
Just makes sense to get the rice chilled quickly. The quicker the better and less opportunity for nasties to multiply.
But with a domestic refrigator, which does not have a great deal of thermal inertia, the effect of introducing a large quantity of freshly-cooked rice can have exactly the opposite effect, in that it can raise the internal temperature of the 'fridge to a point where bacteria /can/ multiply, and if that 'fridge contains shellfish, fish or even meat, then the risk arising from bacterial multiplication on those foodstuffs is many many times the risk resulting from waiting for the rice to fully cool before refrigerating it (IMHO, of course).
'Simples ' - another annoying expression perhaps.m 
Strongly agree, although I have personally found the recent usages of
(moderated) infinitely more offensive.
** Phil.