I don't observe that.
When disks leave standby they are at a lower temp than the system board. The system board can be at a higher temperature, but the developed amount of heat is low, it can't warm-up the disks (you can't easily boil-up a pot full of water using a fire match).
I just spun-up my DNS-325 disks, and the system temp is 30ºC with the fan off, the 1TB Samsung disk is at 19ºC and the 2TB WD at 26ºC. Ambient temp must be about 18ºC.
Some 10 minutes later, it was respectively 32, 24, 29 and some 5 minutes latter 33, 26, 32... 20 minutes after spun up it's 34, 28, 33, fan still off.
So the disks are heating the board, not the other way around (there is no CPU activity other than updating the Status page)
I think that the DNS-320 has a similar case then the DNS-325/DNS-323.
The DNS-320L has a poor thermal design, in my opinion. Its system temperature is consistently higher than the other boxes, and the fan is consistently turning on/off, as there is no convective cooling (heat don't naturally leave the box, as the fan opening is located in the middle of the box and hot air raises to the box top). And I think that I have read that the DNS-327 is even fan-less, having the same kind of case (from the pictures)!
That depends on your disk brand and model. WD, e.g., specifies an operating temperature of between 0 and 60ºC for most disks. Of course having a lower temp is better.
That's a possibility.
You can first change how the fan cools your box, use Services->System->sysctrl Configure and read the online help -- the (?) blue icon near the page title.
There is anything else that I can do :-(