This isn't going to make me any friends, but having dragged trailers well over 300,000km over the past 35 years (much of which with a demountable) I've had many scary moments, and this post scares me.
When it come to towing, what you could do and what you should are not the same thing. If you've had to pump the tyres and airbags to the max just to be able to drive the thing without scaring yourself (not unusual with a double cab and weighty camper) it doesn't matter what your plate or logbook says - you should definitely not be going anywhere near a trailer.
If on the other hand you've only got maybe a bar and a bit in the air bags and plenty of spare capacity on the tyres, and everything feels safe and comfortable with at highway speeds, then that's a different thing. In my experience a loaded truck usually tows better than an unloaded one so you'll probably find the rig will handle the manufacturers GTW nicely. We tow a 2600kg yacht with a Hilux Extra Cab and one of our demountables and it tows it beautifully.
For what it's worth, I really don't think the GTW should be upgraded when a truck is replated, but those are dangerous waters... There's stiff competition amongst the manufacturers to offer the highest towing capacity in the class and if they felt the truck could handle the extra you can be sure they'd advertise as much. Sometimes it might be restricted by something as simple as the handbrake's ability to hold it on a hill, but sometimes it might be much more that. I can tell you from bitter experience that coming down a mountain pass with no brakes because the fluid has boiled is one of the most terrifying things you can ever experience.
With newer trucks and ESP etc it's a whole new ball game and the above is even more important. It's no longer a case of taking it easy and being careful. Now computers take control of our trucks in an emergency situation and those computers have to know what they are dealing with, everything needs to be within limits. This is not just gobbledy goop either. If we put a camper body on an Amarok for example VW supply different ESP software that compensates for the higher centre of gravity.
I'm 100% certain there's nothing there that we all don't all know already. For safety's sake I think it just needed saying though, incase we might try to convince ourselves otherwise
Best wishes
Gary