Yes, ace, Julius Ceasar and Marcus Antonius are to blame for occultism/globalism too.
Young Buranello's relations to Gian Gastone Medici are on record but do not refer to music exchange!
Already famous, after Gian Gastone, he was very popular in London 1741, became maestro degli Incurabili in 1762 (after Cocchi, around 1752, then corespondent only) and was then invited to Russia whereform he returned in 1768.
He was strongly influenced by "general" Koch-Cocchi-Grimm etc, was not one of his aliases, and is on record as Burney's host, August 11-16th 1770, in Venice.
He did not have one of the three copies of the Miserere to give him, ie Burney copied padre G.B.Martini's, the invention of a Cirillo Martini circulating sometime after to cover up.

