The airconditioning system (heating/cooling) is probably operated in blocks - I remember looking at a crew panel in the galley - so I 'm sure that sections of the cabin have some degree of independance. However, the actual flow of cleaned, dry air (at whatever temp) simply oozes out from the roof in all sections. I have a neat vid clip from my digital camera showing this in BKK on the ground prior to engine start. So, I conclude that there is no particular spot in F and C on the A346, wich is particularly cooler/hotter due to vent placement.
With an outside temperature of around -40 to 50 degree C, the airframe is way cooler from direct contact with the atmosphere than any radiant heating effect from the sun - you wouldn't really notice the difference.
I think that the cabin temp, overall, was too warm for your personal comfort, rather than from a vent location or radiant heating factor.
I have experienced the same 'warm discomfort' on TG several times. In Y and C, my Thai wife was happy, I was slighty too warm. I like it to be cool and use the blanket - a better sleep for me results. Same again in the F cabin by myself. Here, I asked staff to adjust the temp down by 3 degrees from whatever it was set at - they complied happily.
For what its worth, airconditioning (cooling/heating) is a fickle business. As a F-27 pilot in my dim past, there was a temp gradient of about 4 degrees down the length of the cabin for any given cokpit selection of cabin temp, mainluy because the airflow through the aircon system was rear-forwards (vents all the way along). Getting it comfy in the forward cabin meant it was too hot down the back end. The other factor is that it takes quite a time for the temperature to stabilise at any given selected temp, and many crew were guilty of 'chasing' the temp indicator - kind of overcontrolling the temp so it varied above and below the desired level. My wife does this with the climate control in the car ; setting max cold to try and rapidly cool the interior (fair enough in BKK), then grumbling when after a period of time that it is now too cold and settiing it to max heating - rather than setting one temp and being patient, or at least readjusting to the desired temp when that has been subjectively reached.
......but hey, who is patient these days anyway!
diatribically yours,
TK