A source for this text would be helpful. I think it is junk.
RAM contents are lost when it is unpowered. When 'core' memory used actual "cores" (ceramic ferrite loops with wires running through them), they would actually retain data (one bit each) for a long period. My company once got a machine back from a customer with fire damage -- smoke and water, and powered off for weeks. They powered it up and it just carried on running what was in it. But RAM now decays within tenths of seconds.
This unattributed spiel says that the RAM will be powered off anyway, but a power outage will still damage the system state on the RAM.
I suspect it should say the CPU is "powered off", not the RAM. Even that would be an over-simplification: it probably just stops being clocked, or clocked in a small loop at a very slow rate. I would not trust hibernation at all, except for a couple of days on a Laptop with a reliable battery.