Hibernation uses no power. Hibernation completely shuts off the computer. That's why it needs the contents of RAM written to the HD.
This is correct. But on Macs, the contents of RAM are simultaneously written to the HD as you said later on. This is what OS X calls "Safe sleep". Just in case your computer runs out of power while sleeping, it will still resume its state fine from disk.
Also kind of correct. When a Mac is sleeping and runs out of power, it just shuts itself off. The RAM image is already written to the HD at this point due to Safe Sleep.
While in hibernation, there is still power in the battery, is what I was meaning. That is the entire reason when you are calibrating you are to let the machine sit for roughly 5 hours to COMPLETELY kill it, or to hold the power button down after it is in hibernate. I guess I worded it poorly... I wasn't meaning that the hibernation was actually still using power, just that the batteries still have juice in them.
On macs the content of the ram is written to the HDD simultaneously when it's in hibernatemode 3. If it's in lets say, 0, like mine, that is not the case.
I personally see NO reason to use hibernatemode. Just seems silly. When you let your machine idle, or shut your lid, SAVE YOUR WORK!!! There is also no need to drain your battery that low that often. To me it's just wasted space on the HDD.