I will go back after kratky, aeroponics with the ultrasonic mister is the priority project right now since it roots cuttings faster then other methods. The reason is because you are in full control and the anaerobic micro organisms which are generally harmful, are kept away because of the aerobic conditions, and generally more sterile environment. In theory, you are providing more ideal growing conditions.
The main benefit is you have 100% control over everything which is also the main drawback because that means you need a better understanding of what needs to happen. TBH, as much as we know, there is a lot we don’t know as well.
You may be interested for a couple of reasons, with lights you can get out of season fresh vegetables, and you can use multiple tiers so the inside space is reduced. Outside, it is generally less labor intensive, there is no weeding, tilling, etc. And you get more consistent results. however it has a higher startup cost and potentially higher fertilizer cost, and definitely, if you are using pumps and lights higher growing costs. But out of season fresh vegetables have more market value.
The costs have come down drastically. After I read that aeroponics did a better job at cloning, and I had to get a pump for cleaning the furnace, I was all ready to get a pump aeroponics system, but then aliexpress had 4 ultrasonic misters and a controller board for 7 dollars, which is cheaper then just the pvc I would of had to buy to get a spray system and I think it uses less energy. LED lights are MUCH cheaper all around. The main drawback of energy expense and higher start up costs have been reduced.
The simplest system is the kratky system which is just any container with the nutrient solution, and you just let it grow. You do have to check the pH and EC (electric conductivity) meter but I think it was just 20 bucks for the cheap ones which gives a ballpark, and handy for testing well water as well.
If you have a chemistry or biology background it is probably easier to comprehend then for the average person. You are growing plants without soil, but the plant still has the same requirements as growing with soil. It can work backwards as well, learning what the ideal growing conditions are, then try to create those in the soil. In the soil however, has a lot more guessing what is actually going on, because there is a whole soil ecosystem.
you have a greenhouse to help control the environment for more ideal growing conditions, hydroponics is just another step to providing that environment, but it doesn’t have some of the soil borne issues you can also create in a greenhouse.
I don’t think it is one or the other. They complement each other.