AQ, AJ, AT or something like A2s can easily become a headache hand. If an ace comes on the flop, you can quickly run into a kicker problem. Even JJ are often difficult to play. Because you can't play JJ like small pocket pairs. Hoping for a drilling and folding when nobody comes on the flop is not an option with JJ. Of course if two overcards come on the flop you are often beaten with JJ, especially if an opponent is also doing some action. But even if there is no overcard on the flop, there are a lot of cards that you don't want to see on the turn. You often need to protect your hand and play aggressively, but it is just likely that you will be overtaken.