The question is a little theoretical, since we cant choose to have one hand over the other. But I will say, that for me AQ is an easier hand to play postflop, because it tends to mostly hit either a strong top pair or nothing at all (A high). So its usually pretty easy to classify as either a hand, that is good enough to bet for value or a hand, that should check and fold to any significant pressure.
77 on the other hand flop some sets, which is of course awesome and very easy to play. But far more often it flop second or third pair, which is a tough hand type to play, because its often not strong enough to bet for value, but at the same time to strong to easily fold. So there is often a lot of confusion, and if you dont flop a set, there are only 2 outs to improve later, whereas AQ usually has 6 outs to top pair.
I think, some of the bad reputation is AQ is due to the fact, its a common tournament bustout hand with its main nemesis being AK. But this is not because, AQ is difficult to play. Its simply because, there are 16 combos of AQ, whereas there are only 6 combos of 77. So we simply get dealt AQ more often, and therefore its also our final hand in more tournaments.
