Because this is the international Exynos variant, the firmware files differ significantly from the Snapdragon variants (common in the USA/China). Installing US firmware on a DS model will likely brick the device. Therefore, ensuring you download specific files is the first rule of firmware flashing.
Yes — as long as you flash a CSC (not HOME_CSC) matching your region and keep the bootloader locked. samsung galaxy s10 sm-g973f ds firmware