Many years ago, both CPU manufacturers had overheating problems, to the point that you could actually damage the chip permanently. These days, both Intel and AMD CPU architectures offer some form of temperature sensing and alerting to prevent most overheating damage. Though I'm not an electrical engineer (I.A.N.A.E.E?) I believe Intel's CPUs do consume more electricity than their AMD counterparts, and as such, run "hotter" than a similarly powered AMD CPU. Most computer manufacturers factor this into their design, and some do it better than others. Given that AMD's, as a rule, run "cooler" than their Intel counterparts, this might favor laptops based on this architecture for less instances of overheating, but I'd be willing to say that manufacturer and model design factor into overheating issues at an order of magnitude much higher than choice of CPU.

Your best bet is to read the industry and customer reviews on the models in which you are interested to see if there are any trends surfacing that point to either a bad cooling design (ie. no powered fans, poor ventilation, etc.) or poor QA (ie. too much/not enough thermal transfer compound between CPU and heatsink, resulting in poorer than expected cooling).