So?
IMO Freemasonry is the epitome of cronyism, the sort of attitude that is prevalent amongst most establishment political parties, so IMO Burns had something in common with many Conservatives, a belief in secret societies, freemasonry, IMO has nothing to do with socialism nothing to do with equality, but more in common with capitalism,cronyism.
we will never know how he voted, but since the meaning of Tories here
2The Tory political faction originally emerged within the Parliament of England to uphold the legitimist rights of James, Duke of York, to succeed his brother Charles II to the throne. James II was a Catholic, while the state institutions had broken from the Catholic Church—this was an issue for the Exclusion Bill supporting Patricians, the political heirs to the nonconformist Roundheads and Covenanters. There were two Tory ministries under James II; the first led by Lord Rochester, the second by Lord Belasyse. A significant faction took part in the ousting of James II with the Whigs to defend the Anglican Church or definitive protestantism. A large but dwindling faction of Tories held sympathy for Catholic Stuart heirs to the throne from the accession of the first Hanoverian monarch in 1714, many of which supported Jacobitism, the military campaigns of which saw them lost and castigated. Although only a minority of Tories gave their adhesion to the Jacobite risings."
it would appear Burns had much in coMmon with Tories