I see at least the following reasons for the Sansui to run cooler:
1. It is one of the best Sansui made and it probably has higher grade, more efficient components, e.g. power supplies in it. As you must know, Sansui made much better amps in the 70's and then deteriorated from there.
2. The heat sinks in that thing is absolutely huge, and as highfigh said it has only 2 amps in it so the heat generated by the transistors and transformer can be dissipated more evenly throughout the enclosure. The AU-717 weighs 6.5 lbs more than the SR-6001, with much more room to breathe for sure.
3. Zero processing chips, though not a significant factor as the SR-6001 doesn't do much video processing anyway, it is not like something that has the reportedly hot Reon chip in it, still one less heat source.
The Sansui is definitely not class A but I am not sure if it is a higher bias A/B (closer to A) or one that is closer to class B. My guess is that it is class A/B, and likely of the higher bias design too. Even then, with only 2 channels it would still generate less heat and with much more heat sink area, it would feel cooler to the touch for sure. By the way, I hope you are getting it fixed, it is too nice an amp not to.