The vermi tea has microbes for the tea to feed on while it is brewing. You must still have the full range of macro and micro nutrients in your soil so that the microbes can break it down and feed it to your plants.
Sunshine mix has a tiny amount of quick-release fertilizer... After that, your microbes would be left hungry.. The plants wouldn't have anything to eat...
Here is a little article about organic fertilizers from a vermicompost website:
"Why Use Organic Fertilizers?
One advantage of organic fertilizers is that their nutrients are doled out as a steady diet in synch with plant needs. Because the nutrients come from natural sources, a portion of them may be temporarily unavailable to plants until released by a combination of warmth and moisture -- the same conditions plants need to grow. Released slowly, the nutrients from organic fertilizers are unlikely to burn plant roots or be leached away by water. And a single application may last a whole growing season.
You also might choose organic fertilizers for philosophical or environmental reasons. Organic fertilizers generally place fewer demands on energy resources, and they offer opportunities to recycle "garbage."The more concentrated a fertilizer (even an organic one), the less organic matter it contains. Fertilizers containing high concentrations of nitrogen, when used alone, can actually deplete soil organic matter, so if you use any such fertilizer, apply plenty of bulky organic matter, too. Dig materials such as straw, peat, compost, and leaves into the soil, or lay them on as mulch.
Naturally occurring mineral fertilizers are organic in the "not-synthetic" sense, but because they don't contain organic matter, they're not included in this list. Among them are Chilean nitrate, rock phosphate, greensand, and sulfate of potash magnesia.
Organic fertilizer; a rich, well-fed soil is all that most plants need to keep them growing vigorously. Few soils are naturally with organic fertilizer so gardeners can enhance the fertility of their soils by adding organic fertilizer. Not only will organic fertilizer provide a wide array of nutrients to the soil, organic fertilizer will encourage microbial activity, which allows the organic fertilizer to provide nutrients over a longer period of time. Unlike chemical fertilizers, the nutrients in organic fertilizers are less likely to leach away in rainwater.
In the range of organic fertilizers, gardeners are not limited to manure & compost. Although these fertilizers are abundant and easy to find, they can be the source of weed seeds and chicken & steer manure can be contaminated with antibiotics and other agrochemicals used in raising these animals. Alternatively, there are numerous other sources of organic fertilizer including alfalfa meal, canola meal, rock phosphate, bone meal, kelp meal, and greensand. All of these fertilizers are organic and naturally occurring, but it is important to choose the right one for your plants' needs"
http://www.green-lands.com/organicfarming.htm