The 'Centrist is a slur!' thing is hilarious, but as with 'TERF is a slur!' it is both true and THE ACTUAL POINT. Like many on the left, I use 'centrist' to mean 'despicable neoliberal sell-out.' If we used 'moderate' in that way instead, it would quickly come to mean the same.
The reason 'centrist' is a slur is not because there is something inherently offensive about the word. It's because there's something inherently offensive about the people it describes. See also TERFs.
The second paragraph there has the exact energy of Reginald Perrin's neighbour in the greatest scene ever written in the history of British sitcoms.