Tamest basic weakness in the game? It doesn’t cost you any actions at all to deal with, all it really does is cost you a card and maybe a test or two down the line. Draw it late? No issues. Playing on expert? You have testless options abound anyway. Playing with new cards that care on any level about curse tokens? This is actually beneficial to you. And finally you might actually be using cards that convert curse to bless, in which case this is easily circumvented. This might hurt more in Innsmouth depending on what the scenarios do with curse and bless, but outside of that campaign, this seems incredibly easy to deal with.
EDIT: I take it back, only because Day of Reckoning got spoiled unexpectedly. Check that one out for an even tamer weakness.