Khazar's Diary question

Khazar's Diary (Endless Night)



+1 stealth action.
Put the Diary in play, or add a counter to one in play. When a unique minion in play is burned, add another counter. While this card has seven or more counters, Giovanni get [NEC] and may take a +1 stealth action to put a minion from any ash heap into play to represent a wraith ally with 2 life, 0 strength, 1 bleed and +1 stealth.

My (maybe stupid) question is (because I have never witnessed a Khazar deck in tournament play):

What happens to the minion (the minion card) representing a wraith ally, when this wraith ally gets burned?
Is the minion (the minion card) put back in the owner's ash heap again?


Thanks in advance!

General Rulings wrote:

#
# Cards that go into an ash heap, hand, or library always go into their owner's ash heap, hand, or library. [RTR 19970425]