This card might be useful for getting a quick search in to get that instant spell that'll save you the game, even if you have to lose a card. But a card in the hand that's not doing you any good is far less valuable than a card that can save your hide. While Odyssey will either make or break the deck depending on the burn and counters it offers. With the current choices there's a little bit lacking in the area of burn and a lot lacking in the area of counterspells. Foil is usable, but still doesn't have the right synergy for this deck.
Thwart works best in Island heavy decks.
Don't even get me started on the poor counterspells offered in Invasion, but I suppose all the other cards that can be used in Counter-burn would be best saved for another article.