i am not aware of figures that offer a starting point of an answer to your question. however, since you are on the lookout to carry away heat developed from one place to another, i might offer some guidance. in standard industrial gears bulk oil temperature should not exceed say 80 deg C, and when using PAO based gear oils that figure might be somewhat higher, say 95 deg C. when the bulk oil temperature gets higher the oil used will oxidize faster and will need to be changed more often. you then either have to employ some form of oil cooling or have to change the amount of oil available, effectively creating a larger "heatsink". bear in mind though that too high an oil level (when splash lubrication occurs) may well lead to a higher oil temperature.
the specific heat of paobased gear oils is not much different from mineral oil based gear oils, so, when operating temperatures and viscosities are the same about the same oil temperature would be the result in a given application. that also means that the original figures you quoted may still be appropriate.
often it is said that gears run cooler when using PAO based lubricants. that usually is the result of the more temperature stable viscosity of pao-based lubricants which means that you might be able to go from an ISO VG220 oil to a ISO VG 100 or 150 - and thus generate less heat due to less churning power needed for the lubricant, not because they have better coolant characteristics.