This is the kind of turbo you and I have on our TDI 110 engines.
The animation at the bottom shows better than any description how the vanes close up the inlet geometry while keeping gas flow well streamlined.
Now, if you have a wastegate turbo then you have a TDI 90 engine, not a 110. What is your engine code? Should be AHF or ASV for a 110, AGR or ALH for a TDI 90.
The "Italian tune-up" process you describe is often effective in freeing up stuck vanes, it gets the turbo good and hot and can burn off enough soot to get rid of the
problem. One thing to note, though: The vanes are closed at low revs, so that the lower volume of exhaust gas is forced to speed up, spinning the turbo faster, fast enough to give significant boost. The extra back pressure is more than compensated for by the power boost from the turbocharger. As revs rise, more and more exhaust gas is produced and the vanes open up to keep the turbo spinning at the right speed to give full boost for the inlet gas flow.
Wastegates, on the other hand, stay closed until you reach higher revs, then open to spill some of the exhaust around the turbine and avoid overspeeding it.
Both systems are actuated by vacuum servos which look very similar.