Burns absolutely did. He refers to a quote from Mark Twain: "History doesn't repeat itself, but it often rhymes."
"It may be Burns’s most didactic film yet as it ends provocatively with images of Dylann Roof, who shot and killed nine African American congregants at a church in South Carolina; white supremacists marching with flaming torches in Charlottesville, Virginia, chanting 'Jews will not replace us!'; the killing of 11 worshippers at a synagogue in Pittsburgh; and the storming of the US Capitol by a mob of Donald Trump supporters on 6 January 2021."
“ 'We were obligated to do that because the way we mount this series is we begin with antisemitism in America and racism and the pernicious slave trade and xenophobia and nativism and eugenics,' he explains. 'We’re obligated then to not close our eyes and pretend this is some comfortable thing in the past that doesn’t rhyme with the present.'”
https://www.theguardian.com/tv-and-radio/2022/sep/19/ken-burns-interview-holocaust-docuseries