To proliferate, you can choose any permanent that has a counter, including ones controlled by opponents
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Many experiments were attempted and discarded, including an early version that had Lorcana feeling more like what Miller describes as a coding game. Another tried to play up a good-versus-evil bent
Part of the problem is of WOTCs own making, of course
It can't be the target of Sorceress's Schemes, which reads in part "Return target instant or sorcery card from your graveyard or exiled card with flashback you own to your hand." When playing a card as an Adventure, use the alternative characteristics and ignore all of the card's normal characteristics