Mine didn't. I had a 2010 white unibody Macbook (2.4 Ghz Core 2 Duo) that the system board failed on late last year. I would have hoped it would have lasted more than 5 years, but it didn't make it.
Was it not possible to get it repaired? I have heard cases where Apple repairs things like problems with a motherboard for a very reasonable charge, like $250 or so. (But I may be misremembering, so would be curious if you investigated that option.)