His claims about the Siri thesis feed into Sedevacantist claims the last several popes
have all been phonies, all been Anti-Popes who were not even real Catholics.
Interestingly, though, another thing that feeds the sedevacantist theories
is that weird things DID take place in the 1958 conclave that elected Blessed
John XXIII. Many who were in St. Peter's Square reported, and photos exist of it,
that the chimney began pouring out white smoke, for more than a full five minutes,
signifying that a pope had been elected. Many present in St Peter's square reported that during this time, the Cardinals appeared at windows, waving to the crowds below,
thus indicating that the voting had concluded, otherwise they would NEVER have been at the windows waving to people.
(( I, however, would like to see photos, which surely would have been taken,
of these Cardinals standing at the windows waving to the crowds below.
I have not seen a single ONE of those photos, please note, not one )).
Well, after a full five minutes of apparent "white smoke" billowing, the claim is made and oft-repeated, that the smoke once again turned BLACK and a long time went by and then John the 23rd appeared on the balcony being announced with "Habemus Papam!!" -- We Have a Pope !!
Well, Martin and others posit that the smoke was billowing WHITE for five minutes because Cardinal Siri had been elected pope, and that many Cardinals, in fear and terror for the Catholics of eastern Europe, because Siri was VERY anti-Communist, insisted that a more moderate Cardinal had to be elected. Therefore, the claim is, they began having the chimney pour out BLACK smoke, and re-voted, resulting in the election of John XXIII. There is, of course, no proof that this "RE-VOTING" ever took place at all.
Another favorite bugaboo of the conspiracy promotors is that the new pope chose the name "JOHN the 23rd," when there had been (and there had been) an ANTI-pope by this name many centuries before.
These things prove nothing, and the "Siri thesis" is extremely weak.