RE: Silver Coins vs. Silver Rounds
The real difference between a coin and a round is that the coin is "legal tender", so it can be used to buy things with its value. It doesn't matter what is its metal, copper, silver, gold,etc you can use it as money. That is because they are issued by the Government. You can't buy anything with a round.
Silver coins and some silver rounds are collectables. So, they have a premium over silver spot when you buy them and that depends on the collectors base and the disponibility of the coin/round.
When you sell these bullion coins/rounds there are some differences: you receive at most spot price for the generic rounds; if the round is a collectible , like the one you showed, you will receive a little more than spot price; with the coins that you showed, you will receive certainly above spot price. I am supposing that you took your silver to a LCS.
Thank you @ronaldoavelino - I know this is the case in the United States, where I live. I was not sure if other sovereign governments around the world had a similar status reserved for coins as government mandated legal tender.
Yes exactly right on the spot + premium. In fact, one justification for the premium is this legal tender guarantee. My LCS does not have a lot of ASEs recently but great stocks of older American Morgans and Peace Dollars. As you say he will offer to buy spot on generics and not much premium on the coins.