Do Goblins consider all money ever made theirs?

Question

We know Goblins consider any object made by them as belonging to them:

“You don’t understand, Harry, nobody could understand unless they have lived with goblins. To a goblin, the rightful and true master of any object is the maker, not the purchaser. All goblin-made objects are, in goblin eyes, rightfully theirs.”

“But if it was bought —”

“— then they would consider it rented by the one who had paid the money. They have, however, great difficulty with the idea of goblin-made objects passing from wizard to wizard. You saw Griphook’s face when the tiara passed under his eyes. He disapproves. I believe he thinks, as do the fiercest of his kind, that it ought to have been returned to the goblins once the original purchaser died. They consider our habit of keeping goblin-made objects, passing them from wizard to wizard without further payment, little more than theft.”

^{Deathly Hallows Chapter 25, "Shell Cottage"}

And we know that all Galleons are made by Goblins:

"You see the numerals around the edge of the coins?" Hermione said, holding one up for examination at the end of their fourth meeting. The coin gleamed fat and yellow in the light from the torches. "On real Galleons that’s just a serial number referring to the goblin who cast the coin.

^{Order of the Phoenix Chapter 19: "The Lion and the Serpent"}

So do goblins believe all wizarding money ever made belongs to them?

Answer 1

The value doesn't belong to them, but the galleons themselves do

This isn't without real world precedent. The physical US dollar is owned by the Federal Reserve, but given out as currency notes to represent a value. In the same way goblins would likely consider themselves to retain ownership of physical galleons themselves, even as they are passed along to represent a value.

This passing of value is different from the other kinds (such as the sword), in that it's not about the item itself. If a wizard were to claim that a galleon specifically belong to them, as opposed to the value it represented, I'd imagine goblins would hold issue with that.

Answer 2

Goblins consider all Galleons theirs because they made them. The owner of something has to have made it - this is the goblins' first rule. For example, the goblins consider the Sword of Gryffindor theirs even though it belongs to Harry Potter (and before him, Godric Gryffindor).