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the miniart sets i believe are made for the burgundian wars.redbox sets are made for the war of the roses.if memory serves,at some point these two wars overlapped.i would think except for specific sets like the the swiss which i dont believe participated in the wotr,most could be swapped back and forth.
by the time of the italian wars at the end of the 15th century things began changing that make these figures out of date.
im no expert so ill leave the details to those that know more.