Er, yeah it will.
It might. It might not. Nobody knows.
The price of a 2.16GHz MacBook logic board from Apple currently runs at north of $2000. I'd much rather spend $419 than over A$2K.
So would I. In fact, if the logic board on my MBA dies out of warranty, I'll just buy a new laptop instead of spending $2k or whatever it is to fix it.
In all honesty though, what % do you estimate the # of apple laptops that require logic board replacement after one year but less than 3? I have no idea on what a good value would be, but it's nowhere near 50% I would say. Much less, probably.
Most repairs on the laptops, once labour is taken into account run at around 2 to 3x the cost of the AppleCare Protection Plan.
I don't know about "most" repairs. Some, yes, but I'm not sure if most repairs will cost that much. Depends what it is. But if you drop the computer, that will most likely be an expensive repair, and AC won't cover it.
We see it all the time here with people having problems with their computers that will end up costing them close to the price of a new machine that would've been completely covered if they'd taken out the APP.
I won't doubt you there. But again, I'm the type to play the odds 
AppleCare is not some dodgy in-store warranty where they send it away for weeks or just palm you off to somewhere else - they actually look after you, it has 24hour phone support, techtools deluxe, ONSITE servicing for desktops - it's very good value.
I never said it was - in fact - I urge people who read this - if you feel you must have some kind of additional protection with your Mac, go with apple care over the in store best buy warranty, despite what the salesman tells you. Apple's #1 goal isn't to sell you a warranty, but it's pretty well BB's #1 goal. Margin on computers for big box stores is incredibly low. Macs (and other laptops) often sell for less than $30 above cost!
Telling someone not to get AppleCare is nigh-on irresponsible. If they have a problem after that one year is up, they're f*cked without AppleCare.
I never said don't buy apple care. I said "I wouldn't buy AC". I even said at the end of my post that if you are thinking about buying it, don't buy it at the time of purchase, just think about it first and be sure you want it.