not only wasn't hp dd never threatened in anyway whatesoever in that series, but he also took on 2 high heralds (amped supes+waverider who may even be in the trans-class, depending on your personal belief) simultaneously and he literally wrecked both.
juggs shield is the dumbest pis in comics and makes him useless in these fights. there is absolutely no chance juggs would put down hp in 2 days or 2 years. konvict is a bit unknown to me so i can't really say, but even without adapting, if he stayed at his hp levels he would easily survive this (again, i may be wrong where konvict is concerned though . . .)