Yes Jackie, at Pimlico, as at Churchill Downs, the "post", by itself with no qualification, is taken to mean the starting post. The end point of a race is generally referred to as the "wire", as in "right down to the wire". You will hear commentators on races on TV saying, "The horses are approaching the post", which means coming up to the starting gate. But at the end of the race, it would be, "Glue Factory is bearing down on the wire a length ahead of Dogsmeat", or some such.

But then, you might expect the Brits to get the expression "post" backwards; after all, they do run races in the wrong direction.