On that specific parking, the "Left" or "Right" don't have any relationship to the direction because ( and this is possible only on an fully customized airport supported by us ), this is a custom pushback were the automatic algorithm that selects the best possible nodes in the AFCAD is overridden, and we specify the node coordinates directly. So, "Left/Right" don't mean anything here: if it's Left like in this case, it means "only 1 choice", if it's Both, some choice menu with labels will appear.
In this case, the AFCAD node selected is at coordinates 40.650183, -73.784226, which means the Pushback will be directed towards that node, Left has no meaning here, it could be Left or not, doesn't matter. I'll check better in the next days if everything is ok with that choice of node.