If another player gains control of Savvy Trader, that player can't play the card, and you still can
I can recall some players actually choosing to roll a dice to determine their choice rather than guess because they felt like their opponent was that much better than 50/50 at gaming it and it would cut down their edge
Disney Lorcana TCG Rise of the Floodborn Simplified Chinese Slim Booster Box is a sealed Chinese-market Lorcana release for the second Disney Lorcana set, Rise of the Floodborn
So, the big question here is "Are there important non-creature permanents you'll need to answer?" Overall, yes
It's to ensure you can access the cards you need to win the game
They've even got a complete set of Lord of the Rings including every serialized card (except the 1:1 The One Ring) for only a cool $1,000,000