The score is actually stored on the Nintendo Switch or on the cartridge.
PS: In my case, it's about the MIT Cartridge scenario
On the switch.
It does not matter if you have bought a game as a cartridge version or in the Nintendo e-shop, because all scores are always stored only on the console itself.
PS: It is not possible to transfer the saved games to a micro SD card.
Is there any way I can save my score from Pokemon Sword?