This is a "True-ism" as it can be argued with all ships on your side vs the red team. Not that I disagree with @Wye_So_Serious
As a DD Main, I am not seeing "Hate" as much as frustration. A well-played DD is SUCH a boon to your team. They spot, they cover friendlies with well-timed smoke, they screen friendly ships, and that is even before they way in with their guns and torps. The key is "Well-Played." But even with that being said, a great DD Player can be caught out by a great cruiser player. And they in turn by a great BB Player. ]
In the end, I think "Hate" is not the correct word, but perhaps frustration would be better?
The frustration about the DD may indeed be its stealth capacity and big punch ability but I would argue this is balanced by their fragility.
This actually leads me to ask, is the skill cap higher in relation to playing DD's well vs other classes?