Ah. Yeah, the Brand stuff isn't in this game. But even if it were, the Brand of the later novels was enough of an oddity that all bets are off. We don't know if he was pulling Martin impressions out of the minds of who he talked to (as a Living Trump, he might have been able to do the sort of things Caine could do but without needing the cards...). Or if he only used those as leads to find the Real Martin and spy on him enough to draw the card. That last plan is the sort of thing that Michael might be able to pull off.

Given the psyche difference, getting Sakura's mind open (enough to get to know a person/place she's visited enough to draw it) would mean losing a bunch of his inner thoughts to her.