You can safely track the $LUNC and $USTC burns on the Stakebin site in the Terra Classic chain.
They also share different data on $LUNC and $USTC in the most accurate way. There may be data related to burns on different sites that are confusing and caused by technical issues.
At this point, keep the Stakebin site in mind... The link is here;
https://terraclassic.stakebin.io/terra/supply