Yes it's worrying, but math is shockingly empirical because new and surprising discoveries happen (and did in this case re a novel genus-1 and genus-2 curve rel

Yes it's worrying, but math is shockingly empirical because new and surprising discoveries happen (and did in this case re a novel genus-1 and genus-2 curve relationship.) Which means that the risk mentioned isn't limited to these particular new systems for cryptography. But I'll take your side to some extent - there are provably unbreakable systems such as one-time pads (with heavy trade-offs!) and other angles that we should probably be considering using more than we do.