I would say it depends. Container growing outside would lend itself more to liquid fertilizers, though if you get a lot of rain that could wash away nutrients before the plants can use them. In the ground there's even less to prevent the liquid nutes from seeping away from the root zone of your plants so I would be even less likely to recommend liquid nutrients.
Not to say they won't work, just that it can be more difficult to make sure they work.
Just FYI, you don't have to choose between Advanced Nutrients and dry granular fertilizers - AN does make a dry fertilizer called Heavy Harvest. Do a YouTube search for "Brown Dirt Warrior" and check out some of his videos. He grows outdoors exclusively and uses Heavy Harvest. His newest videos cover the methods he uses to grow really well, there is a lot of great info in them.