(The copy becomes a token.) A resolving copy of a permanent spell becomes a token, so the token isn't "created." Effects that care about a token being created won't interact with a token that enters the battlefield from Mendicant Core's last ability
The Japanese Genetic Apex packs and the Pokemon coins you see in the above image are not actual products, as they will only appear as stickers packed inside a zipper pouch
For example, if you target a 2/2 creature with two +1/+1 counters on it, you'll draw four cards, then when it returns to the battlefield without any counters on it, you'll discard two cards
In practice, this means passing with mana open rather than tapping out to cast a Time Warp against an opponent who could possibly prevent it
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One of the most common ways for these cards to be used is to pair them with creatures like Ajani's Pridemate