As
@Communicator mentions, it sounds like the original fitting according to the Vin plate is the 2.5 turbo but not intercooled, however
from what you say from previous owner and the fact you say it has the flame start device then more than likely previous owner fitted the later 2.8 engine.
Strange it is under powered though, even without the intercooler which will improve it slightly, I found the 2.8 had plenty of grunt in my Iveco Daily vans and pick ups rated at 3.5 tonnes and more than capable of that, whilst towing a 3.5 tonne trailer loaded also.
Re the thermostat, what I tend to do is check both the new and the old one in a saucepan with a thermometer to see if actually opening and closing correctly. If the old one is opening slightly early or is partially open all the time then as you will know the engine cannot work efficiently.
Another point, if engine is not giving full power that may be another reason it is not reaching correct operating temperature.
I note the oil return hose from the turbo doesn't look shall we say quite "factory" installed. I trust it is suitable rubber for oil at high temp and not just old heater water hose?

It may also be an idea to see if the turbo actually spools up and delivers correct boost, assuming the turbo is in fair order and the
actuator is not seized or diaphragm faulty (both common faults) although if no black smoke under load up hills with full throttle , then I I assume the turbo is working.
If engine is in sound order, then fitting a suitable intercooler is a good idea.
The engine I fitted in my boat came from a 1997 2.8 idt Ducato Maxi van rated at 122Hp in standard form which I chose as one of the last pre ECU engines (I didn't want electrical issues 6 or 7 miles out at sea) I had rebuilt that engine and marinised it with water cooled heat exchanger and intercooler etc. so I was quite happy to adjust the Bosch injector pump and the turbo to increase performance to approaching the 150Hp V6 Volvo Penta petrol engine I replaced in the boat. I will say I always allowed engine to reach correct operating temperature before giving it full power and ran it reliable for 4 years Summer and Winter before selling on.