Trinidad vs. Caroni

Some bottles show Caroni only, some Trinidad (Caroni) and some Trinidad only on their labels even though they are Caronis. Is the latter like the Jamaica rums from a “secret distillery” because the original distillery must not be named? It would be weird for a Caroni imo since that’s a closed distillery opposite to the Jamaican “secret” distilleries that still exist. E.g. there are a lot of Hampdens where the actual name “Hampden” is not on the label (though everyone knows what HD stands for :stuck_out_tongue: ).