Earlier quoted context omitted.
The term “right” comes from the delegates seating in the French National Assembly during the revolution. Both the Left (Jacobins) and the Right (Girondists) voted together to behead the King and dispense with all noble priveledges and titles.
These people wanted to return to an aristocracy according to wikipedias history section of right wing, so his point stands I think. But I'm not knowledgeable about history, so do elaborate if you know details please.
The Girondists were considered right only because Jacobins were super left and ended up killing thousands of priests, what few nobles they could still find, tens of thousands of suspected royalists in mass executions, and eventually the Girondists themselves too for being too soft. The Girondists went to the guillotine singing The Marseilles! Certainly not the royalists that lot.
I recommend the “Revolutions” podcast - about 30 hours worth of the French Revolution is better than any movie.
Also the history of revolutions is very educational in this day and age. I for one hope we will never experience anything like it.