Ok, so my first recommendation would be how you view soil. When you make soil, you aren't necessarily feeding the plant, you are feeding the micro-organisms and not the plant. The Micro-organisms will then in turn break that material down to what the plant can use, forming a symbiotic relationship with the plants. Many times during the breaking down process, the micro organisms can essentially lock the plant out from those nutrients until it finishes breaking it down.
Teas on the other hand feed both the micro organisms and the plant. Think of it as a drink that gets the microbial activity humming as well as providing instant access to the NPK from what you used in the tea.
Now in the case of my soil, my soil kind of got over used. I say over used because I planted it in a smaller pot that wasn't intended for a long veg and then flower. But I ran into a mite issue that kept me vegging for over a month longer than I intended. It taxed my soil of almost all the Nitrogen and other nutrients. So for my case, teas are the best answer along with using fish fertilizer.
Now back to your original thought, I use those items in the soil when I mixed them together. So they were used and broken down by the microbial forces. The teas are supplemental amendments. Does that explain the difference in their uses?
