706.2. When copying an object, the copy acquires the copiable values of the original objects 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 as . . . enters the battlefield and as . . . is turned face up abilities that set characteristics, and by abilities that caused the object to be face down. Other effects (including type-changing and text-changing effects), status, and counters are not copied. Example:
Chimeric Staff is an artifact that reads
X:
Chimeric Staff becomes an
X/
X artifact creature until end of turn.
Clone is a creature that reads, You may have
Clone enter the battlefield as a copy of any creature on the battlefield. After a Staff has become a 5/5 artifact creature, a
Clone enters the battlefield as a copy of it. The
Clone is an artifact, not a 5/5 artifact creature. (The copy has the Staffs ability, however, and will become a creature if that ability is activated.) Example:
Clone enters the battlefield as a copy of a face-down
Grinning Demon (a creature with morph 2BB). The
Clone is a colorless 2/2 creature with no name, no types, no abilities, and no mana cost. It will still be face up. Its controller cant pay 2BB to turn it face up.
Yes there could be issues. Such as with morphed creatures. Mostly the case is it should copy the original card and it's self-gained abilities. But what is the purpose of LKI knowing the P/T and temporary effects? What card would ever copy them?