I think it depends on how you grow. In containers using sterilized or soilless mediums, organic doesn't offer any tangible benefits. As long as you supply what the plant needs, it will grow fine. As for the difference in taste, i'm not convinced. I love going to the cafes in Hollywood and they have racks of organic strains, outdoor strains, "normal" strains (chemical), and hydro strains. I honestly, can't tell the difference. I just know I love the fruity ones, like Blueberry and lemon hazes.
But if your going to grow in living soil, then organic nutrients are safer. You grow organic by gardening the entire ecosystem of your area. And to do it right, you have to do it all the way. Attract or buy beneficial insects, plant leafy greens (like carrots) for the predators to hide, use soil that supports the right types of fungi (in some cases, you might need to add in fungi, but I've also been told by horticulturists its rarely necessary) , and be very selective about the seeds you use (aiming for the closest 'native-like' species), as well as the time of the year you sow.
I do believe an experienced gardener will get the best results from growing hydroponically (be it organic or chemical). But growing in soil is so much easier plus the upfront costs are almost nothing. Compost, bottle of worm castings, and some old wood & nails. to make the raised bed. You can't beat that.