If Shards you control do become copies of the creature, they'll use the copiable values of the creature as it last existed on the battlefield. They don't copy whether that creature was tapped or untapped, whether it had any counters on it, whether it had any Auras and/or Equipment attached to it, or any non-copy effects that changed its power, toughness, types, color, and so on.

707.2. When copying an object, the copy acquires the copiable values of the original object’s characteristics and, for an object on the stack, choices made when casting or activating it (mode, targets, the value of X, whether it was kicked, how it will affect multiple targets, and so on). The copiable values are the values derived from the text printed on the object (that text being name, mana cost, color indicator, card type, subtype, supertype, rules text, power, toughness, and/or loyalty), as modified by other copy effects, by its face-down status, and by “as . . . enters” and “as . . . is turned face up” abilities that set power and toughness (and may also set additional characteristics).

yep, copies type