Not that I am aware of, Roger, but it's very murky water when you look at 1919-22. Some secondary (tertiary?) sources like Ivan Rendall suggest it but offer no definite proof from a primary source.
Before the foundation of the AIACR's CSI the IMS/AAA, ACF and RACI each issued their own regulations when announcing their own races - although they were all pretty much identical, presumably indicating some sort of gentlemen's agreement between the major clubs, usually following the lead of the ACF, which had claimed primacy in such matters since the formation of the AIACR in 1904. It's an odd situation in that powers which the AIACR should have retained for themselves seem to have been delegated to the ACF's CSI, effectively meaning that the French - alone - had the last word on sporting matters.
However, the American tail had ended up wagging the French dog, as racing had been revived there before it had in Europe, so the ACF had - probably reluctantly - adopted the IMS/AAA rules, since those few French manufacturers which had built new racing cars had built them to conform to the 1920 US 3 litre rules. The ACF originally wanted to run their 1922 Grand Prix to a 2 litre limit, but eventually retained the 3 litre one.
I suspect the other "grandee" clubs - RAC, AAA, RACB, RACE, ÖAC and RACI - may have staged a gentle coup in order to reduce that French influence. All six, plus the ACF, were represented on that first CSI, which was headed by a Belgian-born Frenchman - René de Knyff.
On the subject of the original question, it should be borne in mind that post-WW1 Italy was pretty much a financial basket case, having suffered rampant inflation during the war years, and was being "governed" by a succession of fast-falling administrations which were trying to deal with massive economic problems and industrial unrest.