The heat dissipation was a huge problem in the older xbox 360 consoles - the "3 red rings of death" problem that plagued them was due to overheating so bad that it fouled the solder connections of one of the BGA packages.
All three of my first and second generation xbox 360 consoles eventually had to be sent in for repair due to that problem (and my consoles were kept in very well ventilated areas).
They generated a lot of heat, and were very inefficient at removing that heat. It doesn't surprise me at all that the older a unit is, the more likely that you will find failed caps in it - no matter what brand they used.
I believe that the newer layout revisions have fixed the overheating problems, so your chances of finding dead caps due to heat stress is going to be a lot lower. The newer machines certainly run a lot more quietly, and seem to have much lower exhaust temps, so presumably there is higher efficiency hardware inside and probably better board layout too.