I've done a great deal of towing with both the 2.5 (petrol) and 3.2 .. both auto's ... pulling a 1600 Kg 'van .. and what you describe is perfectly normal. The temp will rise as you put the engine to work, and if an autobox it will also have to cool the gearbox oil as well, which will get warmer whilst towing.
As long as the fans cut in and the temperature drops it is nothing to worry about, mine went up a 3500 ft mountain in the South of France in temperatures of 35 degrees with the van on the back .... ok .. the fans were running almost continually on the way up but the temp never went past 100.
If you get worried when the indicated temp rises, turn the aircon to ECO, this will reduce the temperature of the air at the Radiator.. as it won't be working to cool the aircon ..... (note ... under more normal conditions .. not towing and cool air, turning the aircon off will cause the temp to RISE .. as the aircon fans will stop.... )
I've only ever had the warning light on once, and that was climbing out of the Loire Valley .... very steep road with roadworks.. so the beast was working hard .. it also got very hot so we closed the windows and turned on the aircon... 45 seconds later the temp rocketed and the light came on !!! Switched engine off then back on without starting it .. no fans

... the main fan fuse had blown !! we think the combination of aircon + fans at max due to heat just drew too much current as they kicked in all together. New fuse and everything was OK.
The cooling system is basically very good

HTH