Well the general idea is that an indoor hydroponics setup will let you "dial in" your nutrients in a more precise manner, so over time and with experience you should be able to produce a crop that's higher in yield and possibly more potent. On the other hand outdoor organics is generally considered to be better tasting, easier to implement, healthier to consume, more cost effective, and much more friendly to the environment.
I've been growing outdoors for many years and each year I run some plants in synthetic nutrients and others in organic nutrients. Taste & smell wise, I'm not able to tell the difference. I've gone as far as to give away samples to my friends and family. Not once in all my years of growing has anyone been able to figure out which strains were grown in organics or synthetics. This is even while these same people claim to be able to tell when they buy from dispensaries. I don't discount their claims that they can tell the difference, but its much harder when a person grows a plant properly.
I also noticed that between indoor gardeners and outdoor gardeners, those that grow outdoors tend to get bigger plants, while those indoors usually have to do more tricks, like growing Sea of Green style to see yields that surpass outdoor growers.
Furthermore, when I watch people who grow organically in soil and outside, they rarely have problems with PH or nutrient deficiencies. Where as hydroponic growers usually have to have grown for several seasons before they really have a handle on things.