Both are fake. However the Trade Dollar is 90% Silver, same weight, and same diameter. Probably made from melted junk silver and struck with fake dies.
Other than the graininess, the first thing that kind of gave it away to me was "how did a trade dollar with that error get so circulated?" Still pretty interesting though. Do any authentic specimens of this error exist?
I'm going to go out on a limb and say no. There's no way to get edge reeding on a blank that's so undersized in a collar meant for a dollar.
Even more absurd is the fact that this dime-sized planchet just happened to be struck exactly in the center of a larger die. This whole scenario is virtually almost impossible
Australia early 1800's, they had a shortage of coinage so inorder to increase the number of coins, and to help keep them form being exported they took Spanish dollars and punched a "piece" out of the center of them. The larger piece was struck with a die to put an inscription around the hole valuing them at five shillings. This was the holey dollar. The piece punch out was also over struck to create a second coin with a value of 15 pence. This was referred to as a Dump. The combined value of the two pieces was now 6 shillings 3 pence, while the original dollar was 4 shillings 9 pence. The new overvaluation was intended to make them worth more localy than they would be if exported. Since the Dump was not struck in a collar it would still show the shear lines on the edge from bing punched out just like the OP coin" does.
They were basically reales that had a hole punched through the middle by the Australian gov't in the early 1800's, and the middle piece was re-coined into a new coin. Kind of like a coin giving birth