There is a little guessing an confusion on the point here. The wording "BARD" was added in 2006, but as for jurisprudence this was not a reform of the standard.
The standard remained the same - albeit Hellmann is one who appears to try to make an argument about this - that was the previous acquittal formula "on insuficient proof" that was abolished in 1988, that was just the old wording for "reasonable doubt". Nothing changed in its definition.
Why the words were added in 2006? Many legal scholars expressed the opinion the "change" was merely stylish and futile.
Once could speculate that maybe was the situation of the code, perceived by some as ambiguous after the disappearence of the old formula what prompted some politicians to insert the words "BARD" maybe in order to emphasize that cases that would have the old "insufficient proof" formula should be all conflated under the 530 umbrella, or in practice, in order to forge some kind of modern-looking wording that could work as an expedient to help politicians who hope to get off in corruption and mafia trials.
But the point is that art. 533 has actually little or nothing to do with 530 and its "reform". There is no link between the two.
And srt. 530 already established that all cases specified under it are legally considered acquittals that must be under one of its five formulas. The 530.2 paragraph is *not* an additional formula - this is important to make clear: "reasonable doubt" ("insufficient proof") is *not* a formula, it is instead a condition, like another coordinate, that can be added to the formulas like two coordinates of a point in a plain would tell you the information about its position. An acquittal on "insufficient proof" (530.2) is legally either within the area "not having committed the fact" or of another formula (like "crime was not committed"). This is valid, however, only in Penal law. The positions of 530.1 and 530.2 have very different status as for their effects in civil law.
Some of what you have posted here is true and some is false.
The information about the reform of Article 533.1 in 2006 to conform to the BARD standard and complete the transformation of the Italian inquisitional system to an adversarial system comes from an essay by Professor Mitja Gialuz, Professor of Criminal Procedure at the University of Trieste.
If you believe that you can inform him of any errors in his essay, please contact him. Here is what I believe to be his web page:
http://www.penalecontemporaneo.it/gliautori/82-mitja_gialuz/
He seems to have only about 40 publications on law listed - I didn't try to translate their titles - but I'm sure you'll be able to set him on the right legal path. Of course, who knows, he may be in one of those conspiracies of the Masons or Friends of Amanda so he won't be able to appreciate your legal arguments.
As far as I have been able to tell from my reading of the CPP in English translation, edited by Gialuz, Luparia, and Scarpa, your statement:
The positions of 530.1 and 530.2 have very different status as for their effects in civil law.
is false.
CPP Article 652 provides the binding end to any civil action against all persons finally acquitted under the specification "the accused did not commit the crime" as long as the civil action occurred during the criminal proceedings.
If you maintain your statement is somehow true, please provide the citations from the CPP to prove your point.