Well, the Uno Turbo system is definitely a mapped system, though I suppose it has some analogue inputs (coolant temp, airflow) - most digital systems do!
Maybe the vacuum pipes need checking? A vacuum leak might be leading to a lean-running condition so that when the throttle opens, the rush of air causes the engine to bog down.
Or, perhaps the airflow meter is sticking? This is the primary input for the injection system (the throttle position sensor is in fact just a switch for idle and full-throttle. I think it would be worth swapping the airflow meter for a known-good spare.
-Alex