Well, I suppose the question is: why did the RCD trip? We seem to have ascertained that DIN rail RCDs do not stay tripped on power loss only - they will re-energise the circuit after a power failure so long as no fault is detected, so the RCD having tripped and stayed tripped indicates a fault of some sort. Are you happy for your fridge freezer to be on a faulty circuit?
Of course, if the fridge/freezer shares the circuit with other appliances which may potentially generate leakage currents in excess of the RCD trip margin, then I see the problem, so there is a good argument for putting a fridge/freezer on its own spur from the consumer unit.
I have received a mains shock off an appliance (in this case, a washing machine) where the flex had worn entering the appliance, rendering the casing live. It was not on an RCD protected circuit. I don't know if that particular w/m was double insulated.
I don't know how much of a problem nuisance trips are in reality. It would certainly be irritating to lose a freezer full of food as a result of a nuisance trip just after you left for a fortnight's holiday. Perhaps (taking things to extremes), one should have two sockets - an RCD protected one for when you are in, and a non-RCD protected one for when you are away for long periods. That said, the British populace seem to have survived the decades without RCD protection for their freezers quite well, so one might argue the absolute level of risk is small enough to ignore. Your choice, really. It is a perennial topic with no satisfactory resolution.
Regards,
Sid