That doesn't sound right. A large number of weak computers, should be easier to cool. A cluster of smartphones can get by with passive cooling, but my laptop cannot.
Apart from cooling, I'm not an expert on this but I don't know that performance-per-watt has to improve as overall power increases. Going with my idea you'll need to power more motherboards, but they'll be less powerful motherboards. (The total number of CPU cores being powered remains the same. Same goes for RAM modules.)