Your actual point is correct and I agree with it but:
The terms “left” and “right” first appeared during the French Revolution of 1789 when members of the National Assembly divided into supporters of the Ancien Regime to the president’s right and supporters of the revolution to his left.[6][7][8] One deputy, the Baron de Gauville, explained: “We began to recognise each other: those who were loyal to religion and the king took up positions to the right of the chair so as to avoid the shouts, oaths, and indecencies that enjoyed free rein in the opposing camp”.